45600896384000 has 176 divisors, whose sum is σ = 113811163808160. Its totient is φ = 18232838553600.

The previous prime is 45600896383969. The next prime is 45600896384009. The reversal of 45600896384000 is 48369800654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45600896384009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315703796 + ... + 315848204.

Almost surely, 2^{45600896384000} is an apocalyptic number.

45600896384000 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 45600896384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56905581904080).

45600896384000 is an abundant number, since it is smaller than the sum of its proper divisors (68210267424160).

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

45600896384000 is a wasteful number, since it uses less digits than its factorization.

45600896384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146911 (or 146883 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 45600896384000 in words is "forty-five trillion, six hundred billion, eight hundred ninety-six million, three hundred eighty-four thousand".