36352160836992 has 3072 divisors, whose sum is σ = 156335018112000. Its totient is φ = 8145976688640.

The previous prime is 36352160836973. The next prime is 36352160836993. The reversal of 36352160836992 is 29963806125363.

36352160836992 is a `hidden beast` number, since 3 + 6 + 352 + 1 + 60 + 83 + 69 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36352160836993) 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 383 ways as a sum of consecutive naturals, for example, 93450284734 + ... + 93450285122.

It is an arithmetic number, because the mean of its divisors is an integer number (50890305375).

Almost surely, 2^{36352160836992} is an apocalyptic number.

36352160836992 is a gapful number since it is divisible by the number (32) 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 36352160836992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78167509056000).

36352160836992 is an abundant number, since it is smaller than the sum of its proper divisors (119982857275008).

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

36352160836992 is a wasteful number, since it uses less digits than its factorization.

36352160836992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 36352160836992 in words is "thirty-six trillion, three hundred fifty-two billion, one hundred sixty million, eight hundred thirty-six thousand, nine hundred ninety-two".