45917339499504 has 480 divisors, whose sum is σ = 149464589654016. Its totient is φ = 13136999040000.

The previous prime is 45917339499487. The next prime is 45917339499517. The reversal of 45917339499504 is 40599493371954.

It is a happy number.

45917339499504 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 73 + 3 + 9 + 49 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243510699 + ... + 243699189.

Almost surely, 2^{45917339499504} is an apocalyptic number.

45917339499504 is a gapful number since it is divisible by the number (44) 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 45917339499504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74732294827008).

45917339499504 is an abundant number, since it is smaller than the sum of its proper divisors (103547250154512).

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

45917339499504 is a wasteful number, since it uses less digits than its factorization.

45917339499504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188610 (or 188579 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 45917339499504 in words is "forty-five trillion, nine hundred seventeen billion, three hundred thirty-nine million, four hundred ninety-nine thousand, five hundred four".