46531731872001 has 128 divisors (see below), whose sum is σ = 71104321290240. Its totient is φ = 26883035136000.

The previous prime is 46531731871973. The next prime is 46531731872117. The reversal of 46531731872001 is 10027813713564.

It is not a de Polignac number, because 46531731872001 - 2¹⁷ = 46531731740929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46531731822001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17317353280 + ... + 17317355966.

It is an arithmetic number, because the mean of its divisors is an integer number (555502510080).

Almost surely, 2^{46531731872001} is an apocalyptic number.

46531731872001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

46531731872001 is a deficient number, since it is larger than the sum of its proper divisors (24572589418239).

46531731872001 is a wasteful number, since it uses less digits than its factorization.

46531731872001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 46531731872001 in words is "forty-six trillion, five hundred thirty-one billion, seven hundred thirty-one million, eight hundred seventy-two thousand, one".