45408200464 has 135 divisors (see below), whose sum is σ = 100756418581. Its totient is φ = 19809032320.

The previous prime is 45408200441. The next prime is 45408200533. The reversal of 45408200464 is 46400280454.

It is a happy number.

The square root of 45408200464 is 213092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23810958864 + 21597241600 = 154308^2 + 146960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 271905309 + ... + 271905475.

Almost surely, 2^45408200464 is an apocalyptic number.

45408200464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45408200464 is the 213092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45408200464

45408200464 is an abundant number, since it is smaller than the sum of its proper divisors (55348218117).

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

45408200464 is a wasteful number, since it uses less digits than its factorization.

45408200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 45408200464 in words is "forty-five billion, four hundred eight million, two hundred thousand, four hundred sixty-four".