38748628704555 has 448 divisors, whose sum is σ = 88589343817728. Its totient is φ = 15796684903680.

The previous prime is 38748628704551. The next prime is 38748628704571. The reversal of 38748628704555 is 55540782684783.

It is a happy number.

38748628704555 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 8 + 62 + 8 + 7 + 0 + 4 + 555 = 666.

It is not a de Polignac number, because 38748628704555 - 2² = 38748628704551 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38748628704551) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3093202702 + ... + 3093215228.

Almost surely, 2^{38748628704555} is an apocalyptic number.

38748628704555 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38748628704555 is an abundant number, since it is smaller than the sum of its proper divisors (49840715113173).

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

38748628704555 is a wasteful number, since it uses less digits than its factorization.

38748628704555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 1806336000, while the sum is 72.

The spelling of 38748628704555 in words is "thirty-eight trillion, seven hundred forty-eight billion, six hundred twenty-eight million, seven hundred four thousand, five hundred fifty-five".