46065484800 has 792 divisors, whose sum is σ = 184126831200. Its totient is φ = 10935336960.

The previous prime is 46065484789. The next prime is 46065484877. The reversal of 46065484800 is 848456064.

46065484800 is a `hidden beast` number, since 4 + 60 + 6 + 548 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74418891 + ... + 74419509.

Almost surely, 2^46065484800 is an apocalyptic number.

46065484800 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 46065484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92063415600).

46065484800 is an abundant number, since it is smaller than the sum of its proper divisors (138061346400).

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

46065484800 is a wasteful number, since it uses less digits than its factorization.

46065484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 46065484800 in words is "forty-six billion, sixty-five million, four hundred eighty-four thousand, eight hundred".