363644044416 has 384 divisors, whose sum is σ = 1086822696960. Its totient is φ = 116643870720.

The previous prime is 363644044411. The next prime is 363644044433. The reversal of 363644044416 is 614440446363.

363644044416 is a `hidden beast` number, since 3 + 636 + 4 + 4 + 0 + 4 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (363644044411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1184508135 + ... + 1184508441.

It is an arithmetic number, because the mean of its divisors is an integer number (2830267440).

Almost surely, 2^363644044416 is an apocalyptic number.

363644044416 is a gapful number since it is divisible by the number (36) 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 363644044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543411348480).

363644044416 is an abundant number, since it is smaller than the sum of its proper divisors (723178652544).

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

363644044416 is a wasteful number, since it uses less digits than its factorization.

363644044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 363644044416 in words is "three hundred sixty-three billion, six hundred forty-four million, forty-four thousand, four hundred sixteen".