38752688448045 has 240 divisors, whose sum is σ = 82552570353792. Its totient is φ = 17239949176320.

The previous prime is 38752688448041. The next prime is 38752688448107. The reversal of 38752688448045 is 54084488625783.

38752688448045 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 2 + 68 + 84 + 480 + 4 + 5 = 666.

It is not a de Polignac number, because 38752688448045 - 2² = 38752688448041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38752688448041) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 125579359 + ... + 125887571.

Almost surely, 2^{38752688448045} is an apocalyptic number.

It is an amenable number.

38752688448045 is an abundant number, since it is smaller than the sum of its proper divisors (43799881905747).

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

38752688448045 is a wasteful number, since it uses less digits than its factorization.

38752688448045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308434 (or 308412 counting only the distinct ones).

The product of its (nonzero) digits is 1651507200, while the sum is 72.

The spelling of 38752688448045 in words is "thirty-eight trillion, seven hundred fifty-two billion, six hundred eighty-eight million, four hundred forty-eight thousand, forty-five".