45366896173824 has 864 divisors, whose sum is σ = 140215755423744. Its totient is φ = 14077282222080.

The previous prime is 45366896173793. The next prime is 45366896173871. The reversal of 45366896173824 is 42837169866354.

It is a happy number.

45366896173824 is a `hidden beast` number, since 4 + 5 + 366 + 8 + 96 + 173 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134619869784 + ... + 134619870120.

Almost surely, 2^{45366896173824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45366896173824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70107877711872).

45366896173824 is an abundant number, since it is smaller than the sum of its proper divisors (94848859249920).

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

45366896173824 is a wasteful number, since it uses less digits than its factorization.

45366896173824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 816 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 45366896173824 in words is "forty-five trillion, three hundred sixty-six billion, eight hundred ninety-six million, one hundred seventy-three thousand, eight hundred twenty-four".