45567360000 has 660 divisors, whose sum is σ = 171087228312. Its totient is φ = 12109824000.

The previous prime is 45567359993. The next prime is 45567360011. The reversal of 45567360000 is 6376554.

45567360000 is a `hidden beast` number, since 45 + 5 + 6 + 7 + 3 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 155519854 + ... + 155520146.

Almost surely, 2^45567360000 is an apocalyptic number.

45567360000 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 45567360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85543614156).

45567360000 is an abundant number, since it is smaller than the sum of its proper divisors (125519868312).

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

45567360000 is an frugal number, since it uses more digits than its factorization.

45567360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 45567360000 in words is "forty-five billion, five hundred sixty-seven million, three hundred sixty thousand".