38083719697056 has 960 divisors, whose sum is σ = 130638757810176. Its totient is φ = 10768366540800.

The previous prime is 38083719696983. The next prime is 38083719697057. The reversal of 38083719697056 is 65079691738083.

38083719697056 is a `hidden beast` number, since 3 + 80 + 8 + 371 + 9 + 69 + 70 + 56 = 666.

It is a super-2 number, since 2×38083719697056² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38083719697057) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10201905366 + ... + 10201909098.

Almost surely, 2^{38083719697056} is an apocalyptic number.

38083719697056 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 38083719697056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65319378905088).

38083719697056 is an abundant number, since it is smaller than the sum of its proper divisors (92555038113120).

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

38083719697056 is a wasteful number, since it uses less digits than its factorization.

38083719697056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 38083719697056 in words is "thirty-eight trillion, eighty-three billion, seven hundred nineteen million, six hundred ninety-seven thousand, fifty-six".