46586606976 has 768 divisors, whose sum is σ = 173818444800. Its totient is φ = 12093235200.

The previous prime is 46586606971. The next prime is 46586607007. The reversal of 46586606976 is 67960668564.

46586606976 is a `hidden beast` number, since 46 + 586 + 6 + 0 + 6 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46586606971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308520501 + ... + 308520651.

It is an arithmetic number, because the mean of its divisors is an integer number (226326100).

Almost surely, 2^46586606976 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 46586606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86909222400).

46586606976 is an abundant number, since it is smaller than the sum of its proper divisors (127231837824).

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

46586606976 is a wasteful number, since it uses less digits than its factorization.

46586606976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 46586606976 in words is "forty-six billion, five hundred eighty-six million, six hundred six thousand, nine hundred seventy-six".