38732283846144 has 240 divisors, whose sum is σ = 127938090783360. Its totient is φ = 11050345451520.

The previous prime is 38732283846133. The next prime is 38732283846163. The reversal of 38732283846144 is 44164838223783.

38732283846144 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 2 + 2 + 8 + 3 + 8 + 4 + 614 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21420027 + ... + 23157765.

It is an arithmetic number, because the mean of its divisors is an integer number (533075378264).

Almost surely, 2^{38732283846144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38732283846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63969045391680).

38732283846144 is an abundant number, since it is smaller than the sum of its proper divisors (89205806937216).

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

38732283846144 is a wasteful number, since it uses less digits than its factorization.

38732283846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738461 (or 1738442 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 38732283846144 in words is "thirty-eight trillion, seven hundred thirty-two billion, two hundred eighty-three million, eight hundred forty-six thousand, one hundred forty-four".