46971381225888 has 96 divisors (see below), whose sum is σ = 156571270773120. Its totient is φ = 13420394634240.

The previous prime is 46971381225887. The next prime is 46971381225941. The reversal of 46971381225888 is 88852218317964.

46971381225888 is a `hidden beast` number, since 4 + 6 + 9 + 7 + 1 + 38 + 1 + 2 + 2 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (46971381225887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3883209993 + ... + 3883222088.

It is an arithmetic number, because the mean of its divisors is an integer number (1630950737220).

Almost surely, 2^{46971381225888} is an apocalyptic number.

46971381225888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46971381225888 is an abundant number, since it is smaller than the sum of its proper divisors (109599889547232).

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

46971381225888 is a wasteful number, since it uses less digits than its factorization.

46971381225888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766432107 (or 7766432093 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 46971381225888 in words is "forty-six trillion, nine hundred seventy-one billion, three hundred eighty-one million, two hundred twenty-five thousand, eight hundred eighty-eight".