45345807360 has 1056 divisors, whose sum is σ = 194153856000. Its totient is φ = 9754214400.

The previous prime is 45345807347. The next prime is 45345807373. The reversal of 45345807360 is 6370854354.

45345807360 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 580 + 7 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (45345807347) and next prime (45345807373).

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

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 300303285 + ... + 300303435.

Almost surely, 2^45345807360 is an apocalyptic number.

45345807360 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 45345807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97076928000).

45345807360 is an abundant number, since it is smaller than the sum of its proper divisors (148808048640).

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

45345807360 is a wasteful number, since it uses less digits than its factorization.

45345807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

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

The spelling of 45345807360 in words is "forty-five billion, three hundred forty-five million, eight hundred seven thousand, three hundred sixty".