46056593664 has 243 divisors, whose sum is σ = 141601729633. Its totient is φ = 14394187776.

The previous prime is 46056593587. The next prime is 46056593699. The reversal of 46056593664 is 46639565064.

The square root of 46056593664 is 214608.

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

46056593664 is a `hidden beast` number, since 46 + 0 + 5 + 6 + 593 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35857209600 + 10199384064 = 189360^2 + 100992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 46056593664.

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 26 ways as a sum of consecutive naturals, for example, 175119997 + ... + 175120259.

Almost surely, 2^46056593664 is an apocalyptic number.

46056593664 is the 214608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46056593664

46056593664 is an abundant number, since it is smaller than the sum of its proper divisors (95545135969).

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

46056593664 is an equidigital number, since it uses as much as digits as its factorization.

46056593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 46056593664 in words is "forty-six billion, fifty-six million, five hundred ninety-three thousand, six hundred sixty-four".