45409299312960 has 896 divisors, whose sum is σ = 178239073259520. Its totient is φ = 10789405286400.

The previous prime is 45409299312941. The next prime is 45409299312961. The reversal of 45409299312960 is 6921399290454.

45409299312960 is a `hidden beast` number, since 4 + 54 + 0 + 9 + 299 + 3 + 1 + 296 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45409299312961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5495493789 + ... + 5495502051.

It is an arithmetic number, because the mean of its divisors is an integer number (198927537120).

Almost surely, 2^{45409299312960} is an apocalyptic number.

45409299312960 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 45409299312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89119536629760).

45409299312960 is an abundant number, since it is smaller than the sum of its proper divisors (132829773946560).

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

45409299312960 is a wasteful number, since it uses less digits than its factorization.

45409299312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9444 (or 9428 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 45409299312960 in words is "forty-five trillion, four hundred nine billion, two hundred ninety-nine million, three hundred twelve thousand, nine hundred sixty".