45353066400 has 360 divisors, whose sum is σ = 165789638784. Its totient is φ = 12065241600.

The previous prime is 45353066347. The next prime is 45353066417. The reversal of 45353066400 is 466035354.

45353066400 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 3 + 0 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 52552369 + ... + 52553231.

Almost surely, 2^45353066400 is an apocalyptic number.

45353066400 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 45353066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82894819392).

45353066400 is an abundant number, since it is smaller than the sum of its proper divisors (120436572384).

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

45353066400 is a wasteful number, since it uses less digits than its factorization.

45353066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 45353066400 in words is "forty-five billion, three hundred fifty-three million, sixty-six thousand, four hundred".