45364474800 has 180 divisors, whose sum is σ = 159197299560. Its totient is φ = 11961185280.

The previous prime is 45364474781. The next prime is 45364474849. The reversal of 45364474800 is 847446354.

45364474800 is a `hidden beast` number, since 4 + 536 + 44 + 74 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 249607 + ... + 391193.

It is an arithmetic number, because the mean of its divisors is an integer number (884429442).

Almost surely, 2^45364474800 is an apocalyptic number.

45364474800 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 45364474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79598649780).

45364474800 is an abundant number, since it is smaller than the sum of its proper divisors (113832824760).

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

45364474800 is a wasteful number, since it uses less digits than its factorization.

45364474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141700 (or 141686 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 45364474800 in words is "forty-five billion, three hundred sixty-four million, four hundred seventy-four thousand, eight hundred".