38233156494720 has 256 divisors, whose sum is σ = 132957102620160. Its totient is φ = 9267947520000.

The previous prime is 38233156494703. The next prime is 38233156494763. The reversal of 38233156494720 is 2749465133283.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 315704580 + ... + 315825660.

It is an arithmetic number, because the mean of its divisors is an integer number (519363682110).

It is a 1-persistent number, because it is pandigital, but 2⋅38233156494720 = 76466312989440 is not.

Almost surely, 2^{38233156494720} is an apocalyptic number.

38233156494720 is a gapful number since it is divisible by the number (30) 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 38233156494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66478551310080).

38233156494720 is an abundant number, since it is smaller than the sum of its proper divisors (94723946125440).

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

38233156494720 is a wasteful number, since it uses less digits than its factorization.

38233156494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136065 (or 136053 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 38233156494720 in words is "thirty-eight trillion, two hundred thirty-three billion, one hundred fifty-six million, four hundred ninety-four thousand, seven hundred twenty".