45501622992 has 400 divisors, whose sum is σ = 154055790592. Its totient is φ = 12697896960.

The previous prime is 45501622987. The next prime is 45501623023. The reversal of 45501622992 is 29922610554.

45501622992 is a `hidden beast` number, since 4 + 550 + 1 + 6 + 2 + 2 + 9 + 92 = 666.

It is a super-2 number, since 2×45501622992² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84106242 + ... + 84106782.

Almost surely, 2^45501622992 is an apocalyptic number.

45501622992 is a gapful number since it is divisible by the number (42) 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 45501622992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77027895296).

45501622992 is an abundant number, since it is smaller than the sum of its proper divisors (108554167600).

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

45501622992 is a wasteful number, since it uses less digits than its factorization.

45501622992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45501622992 in words is "forty-five billion, five hundred one million, six hundred twenty-two thousand, nine hundred ninety-two".