38445138864 has 280 divisors, whose sum is σ = 122995290000. Its totient is φ = 11538961920.

The previous prime is 38445138863. The next prime is 38445138877. The reversal of 38445138864 is 46883154483.

It is a happy number.

38445138864 is a `hidden beast` number, since 3 + 8 + 44 + 513 + 8 + 86 + 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 38445138864.

It is not an unprimeable number, because it can be changed into a prime (38445138863) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13983762 + ... + 13986510.

Almost surely, 2^38445138864 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 38445138864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61497645000).

38445138864 is an abundant number, since it is smaller than the sum of its proper divisors (84550151136).

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

38445138864 is a wasteful number, since it uses less digits than its factorization.

38445138864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2874 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 38445138864 in words is "thirty-eight billion, four hundred forty-five million, one hundred thirty-eight thousand, eight hundred sixty-four".