46971362880 has 168 divisors, whose sum is σ = 173989895352. Its totient is φ = 11562172416.

The previous prime is 46971362873. The next prime is 46971362881. The reversal of 46971362880 is 8826317964.

46971362880 is a `hidden beast` number, since 4 + 6 + 9 + 7 + 1 + 3 + 628 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4410022464 + 42561340416 = 66408^2 + 206304^2 .

It is not an unprimeable number, because it can be changed into a prime (46971362881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589849 + ... + 664728.

It is an arithmetic number, because the mean of its divisors is an integer number (1035654139).

Almost surely, 2^46971362880 is an apocalyptic number.

46971362880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46971362880 is an abundant number, since it is smaller than the sum of its proper divisors (127018532472).

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

46971362880 is a wasteful number, since it uses less digits than its factorization.

46971362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254613 (or 1254600 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 46971362880 in words is "forty-six billion, nine hundred seventy-one million, three hundred sixty-two thousand, eight hundred eighty".