38444145081232 has 160 divisors (see below), whose sum is σ = 88147744933248. Its totient is φ = 16043274240000.

The previous prime is 38444145081169. The next prime is 38444145081241. The reversal of 38444145081232 is 23218054144483.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074711507 + ... + 1074747277.

Almost surely, 2^{38444145081232} 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 38444145081232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44073872466624).

38444145081232 is an abundant number, since it is smaller than the sum of its proper divisors (49703599852016).

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

38444145081232 is a wasteful number, since it uses less digits than its factorization.

38444145081232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44609 (or 44603 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 49.

The spelling of 38444145081232 in words is "thirty-eight trillion, four hundred forty-four billion, one hundred forty-five million, eighty-one thousand, two hundred thirty-two".