45464775480800 has 72 divisors (see below), whose sum is σ = 119528643411576. Its totient is φ = 16786994019840.

The previous prime is 45464775480799. The next prime is 45464775480823. The reversal of 45464775480800 is 808457746454.

It is a happy number.

It is a super-3 number, since 3×45464775480800³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185796114 + ... + 2185816913.

It is an arithmetic number, because the mean of its divisors is an integer number (1660120047383).

Almost surely, 2^{45464775480800} is an apocalyptic number.

45464775480800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45464775480800 is an abundant number, since it is smaller than the sum of its proper divisors (74063867930776).

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

45464775480800 is a wasteful number, since it uses less digits than its factorization.

45464775480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371613060 (or 4371613047 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 62.

The spelling of 45464775480800 in words is "forty-five trillion, four hundred sixty-four billion, seven hundred seventy-five million, four hundred eighty thousand, eight hundred".