45163863360 has 1344 divisors, whose sum is σ = 211953530880. Its totient is φ = 8868372480.

The previous prime is 45163863347. The next prime is 45163863403. The reversal of 45163863360 is 6336836154.

45163863360 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 3 + 8 + 633 + 6 + 0 = 666.

45163863360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 113762682 + ... + 113763078.

It is an arithmetic number, because the mean of its divisors is an integer number (157703520).

Almost surely, 2^45163863360 is an apocalyptic number.

45163863360 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 45163863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105976765440).

45163863360 is an abundant number, since it is smaller than the sum of its proper divisors (166789667520).

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

45163863360 is a wasteful number, since it uses less digits than its factorization.

45163863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 45163863360 in words is "forty-five billion, one hundred sixty-three million, eight hundred sixty-three thousand, three hundred sixty".