46590725664 has 720 divisors, whose sum is σ = 172066356000. Its totient is φ = 12290310144.

The previous prime is 46590725653. The next prime is 46590725681. The reversal of 46590725664 is 46652709564.

46590725664 is a `hidden beast` number, since 4 + 6 + 5 + 9 + 0 + 72 + 566 + 4 = 666.

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 46590725664.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 103765312 + ... + 103765760.

It is an arithmetic number, because the mean of its divisors is an integer number (238981050).

Almost surely, 2^46590725664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46590725664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86033178000).

46590725664 is an abundant number, since it is smaller than the sum of its proper divisors (125475630336).

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

46590725664 is a wasteful number, since it uses less digits than its factorization.

46590725664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 46590725664 in words is "forty-six billion, five hundred ninety million, seven hundred twenty-five thousand, six hundred sixty-four".