46164112640 has 72 divisors (see below), whose sum is σ = 113566173000. Its totient is φ = 17966555136.

The previous prime is 46164112601. The next prime is 46164112649. The reversal of 46164112640 is 4621146164.

It can be written as a sum of positive squares in 4 ways, for example, as 12036722944 + 34127389696 = 109712^2 + 184736^2 .

It is a super-2 number, since 2×46164112640² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46164112640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46164112649) 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 7 ways as a sum of consecutive naturals, for example, 440015 + ... + 534734.

Almost surely, 2^46164112640 is an apocalyptic number.

46164112640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46164112640 is an abundant number, since it is smaller than the sum of its proper divisors (67402060360).

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

46164112640 is an equidigital number, since it uses as much as digits as its factorization.

46164112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974807 (or 974793 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 46164112640 in words is "forty-six billion, one hundred sixty-four million, one hundred twelve thousand, six hundred forty".