45836775688704 has 960 divisors, whose sum is σ = 164962249740288. Its totient is φ = 10922648371200.

The previous prime is 45836775688633. The next prime is 45836775688723. The reversal of 45836775688704 is 40788657763854.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 45836775688704.

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, 106349827369 + ... + 106349827799.

Almost surely, 2^{45836775688704} is an apocalyptic number.

45836775688704 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 45836775688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82481124870144).

45836775688704 is an abundant number, since it is smaller than the sum of its proper divisors (119125474051584).

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

45836775688704 is a wasteful number, since it uses less digits than its factorization.

45836775688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 7586611200, while the sum is 78.

The spelling of 45836775688704 in words is "forty-five trillion, eight hundred thirty-six billion, seven hundred seventy-five million, six hundred eighty-eight thousand, seven hundred four".