46014624094464 has 675 divisors, whose sum is σ = 146682494563143. Its totient is φ = 14347396325376.

The previous prime is 46014624094403. The next prime is 46014624094513. The reversal of 46014624094464 is 46449042641064.

The square root of 46014624094464 is 6783408.

It is a perfect power (a square), and thus also a powerful number.

46014624094464 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 4 + 624 + 0 + 9 + 4 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14280780536064 + 31733843558400 = 3778992^2 + 5633280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46014624094464.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 282298307247 + ... + 282298307409.

Almost surely, 2^{46014624094464} is an apocalyptic number.

46014624094464 is the 6783408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46014624094464

46014624094464 is an abundant number, since it is smaller than the sum of its proper divisors (100667870468679).

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

46014624094464 is an frugal number, since it uses more digits than its factorization.

46014624094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 46014624094464 in words is "forty-six trillion, fourteen billion, six hundred twenty-four million, ninety-four thousand, four hundred sixty-four".