45996918968 has 288 divisors, whose sum is σ = 124448834160. Its totient is φ = 15664803840.

The previous prime is 45996918967. The next prime is 45996919009. The reversal of 45996918968 is 86981969954.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45996918895 and 45996918904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45996918967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20235080 + ... + 20237352.

Almost surely, 2^45996918968 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 45996918968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62224417080).

45996918968 is an abundant number, since it is smaller than the sum of its proper divisors (78451915192).

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

45996918968 is a wasteful number, since it uses less digits than its factorization.

45996918968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2325 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 74.

The spelling of 45996918968 in words is "forty-five billion, nine hundred ninety-six million, nine hundred eighteen thousand, nine hundred sixty-eight".