46326131712 has 440 divisors, whose sum is σ = 160413990176. Its totient is φ = 13042778112.

The previous prime is 46326131659. The next prime is 46326131737. The reversal of 46326131712 is 21713162364.

46326131712 is a `hidden beast` number, since 4 + 6 + 32 + 613 + 1 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×46326131712² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42383838 + ... + 42384930.

Almost surely, 2^46326131712 is an apocalyptic number.

46326131712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46326131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80206995088).

46326131712 is an abundant number, since it is smaller than the sum of its proper divisors (114087858464).

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

46326131712 is a wasteful number, since it uses less digits than its factorization.

46326131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1178 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 46326131712 in words is "forty-six billion, three hundred twenty-six million, one hundred thirty-one thousand, seven hundred twelve".