45992116224 has 360 divisors, whose sum is σ = 145420575300. Its totient is φ = 14523826176.

The previous prime is 45992116207. The next prime is 45992116283. The reversal of 45992116224 is 42261129954.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45992116224 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 2 + 11 + 622 + 4 = 666.

Its product of digits (311040) is a multiple of the sum of its prime divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45992116224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2420637687 + ... + 2420637705.

Almost surely, 2^45992116224 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 45992116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72710287650).

45992116224 is an abundant number, since it is smaller than the sum of its proper divisors (99428459076).

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

45992116224 is an frugal number, since it uses more digits than its factorization.

45992116224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 24 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 45992116224 in words is "forty-five billion, nine hundred ninety-two million, one hundred sixteen thousand, two hundred twenty-four".