38642231521152 has 768 divisors, whose sum is σ = 135352563840000. Its totient is φ = 10336576831488.

The previous prime is 38642231521147. The next prime is 38642231521163. The reversal of 38642231521152 is 25112513224683.

It is a happy number.

38642231521152 is a `hidden beast` number, since 3 + 8 + 6 + 42 + 2 + 31 + 521 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38642231521098 and 38642231521107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4806841549 + ... + 4806849587.

It is an arithmetic number, because the mean of its divisors is an integer number (176240317500).

Almost surely, 2^{38642231521152} is an apocalyptic number.

38642231521152 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 38642231521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67676281920000).

38642231521152 is an abundant number, since it is smaller than the sum of its proper divisors (96710332318848).

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

38642231521152 is a wasteful number, since it uses less digits than its factorization.

38642231521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451 (or 8436 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 38642231521152 in words is "thirty-eight trillion, six hundred forty-two billion, two hundred thirty-one million, five hundred twenty-one thousand, one hundred fifty-two".