45185891112960 has 384 divisors, whose sum is σ = 164837158799040. Its totient is φ = 10468403970048.

The previous prime is 45185891112937. The next prime is 45185891113031. The reversal of 45185891112960 is 6921119858154.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 45185891112894 and 45185891112903.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3461304 + ... + 10116936.

Almost surely, 2^{45185891112960} is an apocalyptic number.

45185891112960 is a gapful number since it is divisible by the number (40) 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 45185891112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82418579399520).

45185891112960 is an abundant number, since it is smaller than the sum of its proper divisors (119651267686080).

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

45185891112960 is a wasteful number, since it uses less digits than its factorization.

45185891112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655693 (or 6655673 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 60.

The spelling of 45185891112960 in words is "forty-five trillion, one hundred eighty-five billion, eight hundred ninety-one million, one hundred twelve thousand, nine hundred sixty".