38537385659136 has 1152 divisors, whose sum is σ = 148811258265600. Its totient is φ = 9552580853760.

The previous prime is 38537385659111. The next prime is 38537385659173. The reversal of 38537385659136 is 63195658373583.

38537385659136 is a `hidden beast` number, since 3 + 8 + 5 + 373 + 85 + 65 + 91 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1517745001 + ... + 1517770391.

Almost surely, 2^{38537385659136} is an apocalyptic number.

38537385659136 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 38537385659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74405629132800).

38537385659136 is an abundant number, since it is smaller than the sum of its proper divisors (110273872606464).

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

38537385659136 is a wasteful number, since it uses less digits than its factorization.

38537385659136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25582 (or 25562 counting only the distinct ones).

The product of its digits is 1469664000, while the sum is 72.

The spelling of 38537385659136 in words is "thirty-eight trillion, five hundred thirty-seven billion, three hundred eighty-five million, six hundred fifty-nine thousand, one hundred thirty-six".