45651418560 has 1008 divisors, whose sum is σ = 190585100160. Its totient is φ = 10286714880.

The previous prime is 45651418559. The next prime is 45651418591. The reversal of 45651418560 is 6581415654.

45651418560 is a `hidden beast` number, since 4 + 5 + 65 + 14 + 18 + 560 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 861347494 + ... + 861347546.

It is an arithmetic number, because the mean of its divisors is an integer number (189072520).

Almost surely, 2^45651418560 is an apocalyptic number.

45651418560 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 45651418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95292550080).

45651418560 is an abundant number, since it is smaller than the sum of its proper divisors (144933681600).

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

45651418560 is a wasteful number, since it uses less digits than its factorization.

45651418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 45651418560 in words is "forty-five billion, six hundred fifty-one million, four hundred eighteen thousand, five hundred sixty".