39366161243136 has 1760 divisors, whose sum is σ = 147288877711360. Its totient is φ = 10300534013952.

The previous prime is 39366161243131. The next prime is 39366161243147. The reversal of 39366161243136 is 63134216166393.

39366161243136 is a `hidden beast` number, since 3 + 9 + 3 + 6 + 6 + 1 + 612 + 4 + 3 + 13 + 6 = 666.

It is a super-2 number, since 2×39366161243136² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39366161243131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 309969773505 + ... + 309969773631.

It is an arithmetic number, because the mean of its divisors is an integer number (83686862336).

Almost surely, 2^{39366161243136} is an apocalyptic number.

39366161243136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39366161243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73644438855680).

39366161243136 is an abundant number, since it is smaller than the sum of its proper divisors (107922716468224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39366161243136 is an frugal number, since it uses more digits than its factorization.

39366161243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 152 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

It can be divided in two parts, 39366 and 161243136, that multiplied together give a square (6347497291776 = 2519424²).

The spelling of 39366161243136 in words is "thirty-nine trillion, three hundred sixty-six billion, one hundred sixty-one million, two hundred forty-three thousand, one hundred thirty-six".