45254968968 has 256 divisors, whose sum is σ = 132055142400. Its totient is φ = 12886790400.

The previous prime is 45254968951. The next prime is 45254968991. The reversal of 45254968968 is 86986945254.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 45254968899 and 45254968908.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104999713 + ... + 105000143.

It is an arithmetic number, because the mean of its divisors is an integer number (515840400).

Almost surely, 2^45254968968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45254968968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66027571200).

45254968968 is an abundant number, since it is smaller than the sum of its proper divisors (86800173432).

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

45254968968 is a wasteful number, since it uses less digits than its factorization.

45254968968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 639 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 66.

The spelling of 45254968968 in words is "forty-five billion, two hundred fifty-four million, nine hundred sixty-eight thousand, nine hundred sixty-eight".