46112640000 has 880 divisors, whose sum is σ = 181715432448. Its totient is φ = 10174464000.

The previous prime is 46112639959. The next prime is 46112640023. The reversal of 46112640000 is 4621164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 631679964 + ... + 631680036.

Almost surely, 2^46112640000 is an apocalyptic number.

46112640000 is a gapful number since it is divisible by the number (40) 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 46112640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90857716224).

46112640000 is an abundant number, since it is smaller than the sum of its proper divisors (135602792448).

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

46112640000 is an equidigital number, since it uses as much as digits as its factorization.

46112640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 46112640000 in words is "forty-six billion, one hundred twelve million, six hundred forty thousand".