45369507456 has 768 divisors, whose sum is σ = 168979564800. Its totient is φ = 11878244352.

The previous prime is 45369507433. The next prime is 45369507487. The reversal of 45369507456 is 65470596354.

45369507456 is a `hidden beast` number, since 4 + 536 + 9 + 50 + 7 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331164220 + ... + 331164356.

It is an arithmetic number, because the mean of its divisors is an integer number (220025475).

Almost surely, 2^45369507456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45369507456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84489782400).

45369507456 is an abundant number, since it is smaller than the sum of its proper divisors (123610057344).

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

45369507456 is an equidigital number, since it uses as much as digits as its factorization.

45369507456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 45369507456 in words is "forty-five billion, three hundred sixty-nine million, five hundred seven thousand, four hundred fifty-six".