46216324490112 has 512 divisors, whose sum is σ = 162165214080000. Its totient is φ = 12678071132160.

The previous prime is 46216324490093. The next prime is 46216324490123. The reversal of 46216324490112 is 21109442361264.

46216324490112 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 632 + 4 + 4 + 9 + 0 + 1 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 125396662 + ... + 125764682.

It is an arithmetic number, because the mean of its divisors is an integer number (316728933750).

Almost surely, 2^{46216324490112} is an apocalyptic number.

46216324490112 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 46216324490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81082607040000).

46216324490112 is an abundant number, since it is smaller than the sum of its proper divisors (115948889589888).

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

46216324490112 is a wasteful number, since it uses less digits than its factorization.

46216324490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368259 (or 368241 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 46216324490112 in words is "forty-six trillion, two hundred sixteen billion, three hundred twenty-four million, four hundred ninety thousand, one hundred twelve".