44968996800 has 2016 divisors, whose sum is σ = 215716859904. Its totient is φ = 8957952000.

The previous prime is 44968996783. The next prime is 44968996801. The reversal of 44968996800 is 869986944.

44968996800 is a `hidden beast` number, since 4 + 496 + 89 + 9 + 68 + 0 + 0 = 666.

44968996800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44968996801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1096804780 + ... + 1096804820.

Almost surely, 2^44968996800 is an apocalyptic number.

44968996800 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 44968996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107858429952).

44968996800 is an abundant number, since it is smaller than the sum of its proper divisors (170747863104).

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

44968996800 is a wasteful number, since it uses less digits than its factorization.

44968996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 44968996800 in words is "forty-four billion, nine hundred sixty-eight million, nine hundred ninety-six thousand, eight hundred".