45473218560 has 1200 divisors, whose sum is σ = 205535594880. Its totient is φ = 9342812160.

The previous prime is 45473218543. The next prime is 45473218579. The reversal of 45473218560 is 6581237454.

45473218560 is a `hidden beast` number, since 4 + 5 + 4 + 73 + 2 + 18 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 510934996 + ... + 510935084.

Almost surely, 2^45473218560 is an apocalyptic number.

45473218560 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 45473218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102767797440).

45473218560 is an abundant number, since it is smaller than the sum of its proper divisors (160062376320).

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

45473218560 is an equidigital number, since it uses as much as digits as its factorization.

45473218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45473218560 in words is "forty-five billion, four hundred seventy-three million, two hundred eighteen thousand, five hundred sixty".