38236615958016 has 1200 divisors, whose sum is σ = 139261222425600. Its totient is φ = 10394717921280.

The previous prime is 38236615958011. The next prime is 38236615958017. The reversal of 38236615958016 is 61085951663283.

It is a happy number.

38236615958016 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 6 + 615 + 9 + 5 + 8 + 0 + 1 + 6 = 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 (38236615958011) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9301047801 + ... + 9301051911.

It is an arithmetic number, because the mean of its divisors is an integer number (116051018688).

Almost surely, 2^{38236615958016} is an apocalyptic number.

38236615958016 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 38236615958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69630611212800).

38236615958016 is an abundant number, since it is smaller than the sum of its proper divisors (101024606467584).

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

38236615958016 is a wasteful number, since it uses less digits than its factorization.

38236615958016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 38236615958016 in words is "thirty-eight trillion, two hundred thirty-six billion, six hundred fifteen million, nine hundred fifty-eight thousand, sixteen".