46291025664 has 216 divisors, whose sum is σ = 149061373552. Its totient is φ = 14243143680.

The previous prime is 46291025657. The next prime is 46291025699. The reversal of 46291025664 is 46652019264.

46291025664 is a `hidden beast` number, since 4 + 629 + 10 + 2 + 5 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 780084 + ... + 837324.

Almost surely, 2^46291025664 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 46291025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74530686776).

46291025664 is an abundant number, since it is smaller than the sum of its proper divisors (102770347888).

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

46291025664 is an equidigital number, since it uses as much as digits as its factorization.

46291025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57285 (or 57259 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 46291025664 in words is "forty-six billion, two hundred ninety-one million, twenty-five thousand, six hundred sixty-four".