45462772800 has 294 divisors, whose sum is σ = 167727829898. Its totient is φ = 12123095040.

The previous prime is 45462772783. The next prime is 45462772811. The reversal of 45462772800 is 827726454.

It is a happy number.

45462772800 is a `hidden beast` number, since 4 + 546 + 27 + 7 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11943936 + 45450828864 = 3456^2 + 213192^2 .

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 41 ways as a sum of consecutive naturals, for example, 1146912 + ... + 1185888.

Almost surely, 2^45462772800 is an apocalyptic number.

45462772800 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 45462772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83863914949).

45462772800 is an abundant number, since it is smaller than the sum of its proper divisors (122265057098).

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

45462772800 is an equidigital number, since it uses as much as digits as its factorization.

45462772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39017 (or 38987 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 45462772800 in words is "forty-five billion, four hundred sixty-two million, seven hundred seventy-two thousand, eight hundred".