45217933992 has 256 divisors, whose sum is σ = 161652326400. Its totient is φ = 11365920000.

The previous prime is 45217933991. The next prime is 45217934033. The reversal of 45217933992 is 29933971254.

45217933992 is a `hidden beast` number, since 4 + 5 + 217 + 9 + 339 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45217933991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471742 + ... + 559442.

It is an arithmetic number, because the mean of its divisors is an integer number (631454400).

Almost surely, 2^45217933992 is an apocalyptic number.

45217933992 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 45217933992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80826163200).

45217933992 is an abundant number, since it is smaller than the sum of its proper divisors (116434392408).

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

45217933992 is a wasteful number, since it uses less digits than its factorization.

45217933992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87765 (or 87755 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 45217933992 in words is "forty-five billion, two hundred seventeen million, nine hundred thirty-three thousand, nine hundred ninety-two".