38822750613504 has 2496 divisors, whose sum is σ = 147118558863360. Its totient is φ = 10020166041600.

The previous prime is 38822750613499. The next prime is 38822750613553. The reversal of 38822750613504 is 40531605722883.

38822750613504 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 2 + 75 + 0 + 61 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124034346852 + ... + 124034347164.

Almost surely, 2^{38822750613504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38822750613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73559279431680).

38822750613504 is an abundant number, since it is smaller than the sum of its proper divisors (108295808249856).

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

38822750613504 is a wasteful number, since it uses less digits than its factorization.

38822750613504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 38822750613504 in words is "thirty-eight trillion, eight hundred twenty-two billion, seven hundred fifty million, six hundred thirteen thousand, five hundred four".