45056321917200 has 480 divisors, whose sum is σ = 176678146339200. Its totient is φ = 10814595840000.

The previous prime is 45056321917183. The next prime is 45056321917237. The reversal of 45056321917200 is 271912365054.

45056321917200 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 632 + 1 + 9 + 1 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10121266 + ... + 13876334.

It is an arithmetic number, because the mean of its divisors is an integer number (368079471540).

Almost surely, 2^{45056321917200} is an apocalyptic number.

45056321917200 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 45056321917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88339073169600).

45056321917200 is an abundant number, since it is smaller than the sum of its proper divisors (131621824422000).

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

45056321917200 is a wasteful number, since it uses less digits than its factorization.

45056321917200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755208 (or 3755191 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 45056321917200 in words is "forty-five trillion, fifty-six billion, three hundred twenty-one million, nine hundred seventeen thousand, two hundred".