45786721968 has 240 divisors, whose sum is σ = 147313071360. Its totient is φ = 13158028800.

The previous prime is 45786721963. The next prime is 45786722017. The reversal of 45786721968 is 86912768754.

45786721968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45786721963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2516263 + ... + 2534393.

It is an arithmetic number, because the mean of its divisors is an integer number (613804464).

Almost surely, 2^45786721968 is an apocalyptic number.

45786721968 is a gapful number since it is divisible by the number (48) 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 45786721968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656535680).

45786721968 is an abundant number, since it is smaller than the sum of its proper divisors (101526349392).

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

45786721968 is a wasteful number, since it uses less digits than its factorization.

45786721968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18248 (or 18239 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 45786721968 in words is "forty-five billion, seven hundred eighty-six million, seven hundred twenty-one thousand, nine hundred sixty-eight".