46261732608 has 1152 divisors, whose sum is σ = 183142400000. Its totient is φ = 11412430848.

The previous prime is 46261732591. The next prime is 46261732631. The reversal of 46261732608 is 80623716264.

46261732608 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 1 + 7 + 32 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585591513 + ... + 585591591.

Almost surely, 2^46261732608 is an apocalyptic number.

46261732608 is a gapful number since it is divisible by the number (48) 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 46261732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91571200000).

46261732608 is an abundant number, since it is smaller than the sum of its proper divisors (136880667392).

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

46261732608 is a wasteful number, since it uses less digits than its factorization.

46261732608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46261732608 in words is "forty-six billion, two hundred sixty-one million, seven hundred thirty-two thousand, six hundred eight".