38956706845056 has 768 divisors, whose sum is σ = 150616688302080. Its totient is φ = 9333931622400.

The previous prime is 38956706845031. The next prime is 38956706845073. The reversal of 38956706845056 is 65054860765983.

38956706845056 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 67 + 0 + 68 + 450 + 56 = 666.

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

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, 1825428946 + ... + 1825450286.

It is an arithmetic number, because the mean of its divisors is an integer number (196115479560).

Almost surely, 2^{38956706845056} is an apocalyptic number.

38956706845056 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 38956706845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75308344151040).

38956706845056 is an abundant number, since it is smaller than the sum of its proper divisors (111659981457024).

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

38956706845056 is a wasteful number, since it uses less digits than its factorization.

38956706845056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22975 (or 22960 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 38956706845056 in words is "thirty-eight trillion, nine hundred fifty-six billion, seven hundred six million, eight hundred forty-five thousand, fifty-six".