46464406800 has 1440 divisors, whose sum is σ = 199910633472. Its totient is φ = 9140060160.

The previous prime is 46464406759. The next prime is 46464406811. The reversal of 46464406800 is 860446464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 287 ways as a sum of consecutive naturals, for example, 988604377 + ... + 988604423.

Almost surely, 2^46464406800 is an apocalyptic number.

46464406800 is a gapful number since it is divisible by the number (40) 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 46464406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99955316736).

46464406800 is an abundant number, since it is smaller than the sum of its proper divisors (153446226672).

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

46464406800 is a wasteful number, since it uses less digits than its factorization.

46464406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 46464406800 in words is "forty-six billion, four hundred sixty-four million, four hundred six thousand, eight hundred".