38151913724064 has 960 divisors, whose sum is σ = 135181915545600. Its totient is φ = 10320146952192.

The previous prime is 38151913724047. The next prime is 38151913724069. The reversal of 38151913724064 is 46042731915183.

38151913724064 is a `hidden beast` number, since 3 + 8 + 1 + 519 + 13 + 72 + 40 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38151913724064.

It is not an unprimeable number, because it can be changed into a prime (38151913724069) 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, 17853023604 + ... + 17853025740.

It is an arithmetic number, because the mean of its divisors is an integer number (140814495360).

It is a 1-persistent number, because it is pandigital, but 2⋅38151913724064 = 76303827448128 is not.

Almost surely, 2^{38151913724064} 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 38151913724064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67590957772800).

38151913724064 is an abundant number, since it is smaller than the sum of its proper divisors (97030001821536).

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

38151913724064 is a wasteful number, since it uses less digits than its factorization.

38151913724064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 38151913724064 in words is "thirty-eight trillion, one hundred fifty-one billion, nine hundred thirteen million, seven hundred twenty-four thousand, sixty-four".