44617819631616 has 1248 divisors, whose sum is σ = 168889686428160. Its totient is φ = 11509972992000.

The previous prime is 44617819631597. The next prime is 44617819631629. The reversal of 44617819631616 is 61613691871644.

It is a happy number.

44617819631616 is a `hidden beast` number, since 4 + 4 + 6 + 1 + 7 + 8 + 1 + 9 + 6 + 3 + 1 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9000969810 + ... + 9000974766.

Almost surely, 2^{44617819631616} 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 44617819631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84444843214080).

44617819631616 is an abundant number, since it is smaller than the sum of its proper divisors (124271866796544).

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

44617819631616 is a wasteful number, since it uses less digits than its factorization.

44617819631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5131 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 44617819631616 in words is "forty-four trillion, six hundred seventeen billion, eight hundred nineteen million, six hundred thirty-one thousand, six hundred sixteen".