46656046000 has 40 divisors (see below), whose sum is σ = 112814324064. Its totient is φ = 18662417600.

The previous prime is 46656045979. The next prime is 46656046001. The reversal of 46656046000 is 64065664.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (46656046001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11662012 + ... + 11666011.

Almost surely, 2^46656046000 is an apocalyptic number.

46656046000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46656046000 is an abundant number, since it is smaller than the sum of its proper divisors (66158278064).

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

46656046000 is a wasteful number, since it uses less digits than its factorization.

46656046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23328046 (or 23328030 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 46656046000 in words is "forty-six billion, six hundred fifty-six million, forty-six thousand".