45169179761664 has 1584 divisors, whose sum is σ = 160232993125920. Its totient is φ = 12203317002240.

The previous prime is 45169179761653. The next prime is 45169179761707. The reversal of 45169179761664 is 46616797196154.

It is a happy number.

45169179761664 is a `hidden beast` number, since 4 + 516 + 9 + 1 + 7 + 97 + 6 + 16 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45169179761592 and 45169179761601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193859140492 + ... + 193859140724.

It is an arithmetic number, because the mean of its divisors is an integer number (101157192630).

Almost surely, 2^{45169179761664} 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 45169179761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80116496562960).

45169179761664 is an abundant number, since it is smaller than the sum of its proper divisors (115063813364256).

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

45169179761664 is a wasteful number, since it uses less digits than its factorization.

45169179761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 518 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 45169179761664 in words is "forty-five trillion, one hundred sixty-nine billion, one hundred seventy-nine million, seven hundred sixty-one thousand, six hundred sixty-four".