45709466400 has 504 divisors, whose sum is σ = 180205380180. Its totient is φ = 11249694720.

The previous prime is 45709466393. The next prime is 45709466401. The reversal of 45709466400 is 466490754.

It can be written as a sum of positive squares in 6 ways, for example, as 19500446736 + 26209019664 = 139644^2 + 161892^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45709466401) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 7578586 + ... + 7584614.

Almost surely, 2^45709466400 is an apocalyptic number.

45709466400 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 45709466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90102690090).

45709466400 is an abundant number, since it is smaller than the sum of its proper divisors (134495913780).

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

45709466400 is a wasteful number, since it uses less digits than its factorization.

45709466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 45709466400 in words is "forty-five billion, seven hundred nine million, four hundred sixty-six thousand, four hundred".