44616704000904 has 320 divisors, whose sum is σ = 145850151004800. Its totient is φ = 12479210956800.

The previous prime is 44616704000903. The next prime is 44616704000917. The reversal of 44616704000904 is 40900040761644.

44616704000904 is a `hidden beast` number, since 4 + 461 + 67 + 0 + 40 + 0 + 0 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 44616704000904.

It is not an unprimeable number, because it can be changed into a prime (44616704000903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58000752 + ... + 58764960.

It is an arithmetic number, because the mean of its divisors is an integer number (455781721890).

Almost surely, 2^{44616704000904} 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 44616704000904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72925075502400).

44616704000904 is an abundant number, since it is smaller than the sum of its proper divisors (101233447003896).

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

44616704000904 is a wasteful number, since it uses less digits than its factorization.

44616704000904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764506 (or 764493 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 44616704000904 in words is "forty-four trillion, six hundred sixteen billion, seven hundred four million, nine hundred four", and thus it is an aban number.