38147948580960 has 288 divisors, whose sum is σ = 137016306266112. Its totient is φ = 10020952972800.

The previous prime is 38147948580913. The next prime is 38147948580977. The reversal of 38147948580960 is 6908584974183.

38147948580960 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 7 + 9 + 485 + 80 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4717216 + ... + 9927135.

It is an arithmetic number, because the mean of its divisors is an integer number (475751063424).

Almost surely, 2^{38147948580960} is an apocalyptic number.

38147948580960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38147948580960 is an abundant number, since it is smaller than the sum of its proper divisors (98868357685152).

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

38147948580960 is a wasteful number, since it uses less digits than its factorization.

38147948580960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14644448 (or 14644428 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 38147948580960 in words is "thirty-eight trillion, one hundred forty-seven billion, nine hundred forty-eight million, five hundred eighty thousand, nine hundred sixty".