38124614664 has 72 divisors (see below), whose sum is σ = 109347531930. Its totient is φ = 11958520320.

The previous prime is 38124614657. The next prime is 38124614669. The reversal of 38124614664 is 46641642183.

38124614664 is a `hidden beast` number, since 3 + 8 + 1 + 24 + 614 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31360868100 + 6763746564 = 177090^2 + 82242^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38124614669) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6828354 + ... + 6833934.

Almost surely, 2^38124614664 is an apocalyptic number.

38124614664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38124614664 is an abundant number, since it is smaller than the sum of its proper divisors (71222917266).

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

38124614664 is an equidigital number, since it uses as much as digits as its factorization.

38124614664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11191 (or 5603 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 38124614664 in words is "thirty-eight billion, one hundred twenty-four million, six hundred fourteen thousand, six hundred sixty-four".