45257466600 has 144 divisors (see below), whose sum is σ = 152532251820. Its totient is φ = 12025574400.

The previous prime is 45257466563. The next prime is 45257466673. The reversal of 45257466600 is 666475254.

It can be written as a sum of positive squares in 6 ways, for example, as 5392552356 + 39864914244 = 73434^2 + 199662^2 .

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 35 ways as a sum of consecutive naturals, for example, 461062 + ... + 550538.

Almost surely, 2^45257466600 is an apocalyptic number.

45257466600 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 45257466600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76266125910).

45257466600 is an abundant number, since it is smaller than the sum of its proper divisors (107274785220).

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

45257466600 is a wasteful number, since it uses less digits than its factorization.

45257466600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89780 (or 89768 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 45257466600 in words is "forty-five billion, two hundred fifty-seven million, four hundred sixty-six thousand, six hundred".