46416422584224 has 576 divisors, whose sum is σ = 183418709160960. Its totient is φ = 10749811138560.

The previous prime is 46416422584201. The next prime is 46416422584283. The reversal of 46416422584224 is 42248522461464.

46416422584224 is a `hidden beast` number, since 4 + 6 + 4 + 16 + 4 + 22 + 584 + 2 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3922767 + ... + 10402929.

It is an arithmetic number, because the mean of its divisors is an integer number (318435258960).

Almost surely, 2^{46416422584224} is an apocalyptic number.

46416422584224 is a gapful number since it is divisible by the number (44) 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 46416422584224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91709354580480).

46416422584224 is an abundant number, since it is smaller than the sum of its proper divisors (137002286576736).

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

46416422584224 is a wasteful number, since it uses less digits than its factorization.

46416422584224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480233 (or 6480222 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 54.

The spelling of 46416422584224 in words is "forty-six trillion, four hundred sixteen billion, four hundred twenty-two million, five hundred eighty-four thousand, two hundred twenty-four".