362944996416 has 336 divisors, whose sum is σ = 1112342362560. Its totient is φ = 112941158400.

The previous prime is 362944996369. The next prime is 362944996417. The reversal of 362944996416 is 614699449263.

362944996416 is a `hidden beast` number, since 3 + 6 + 2 + 94 + 49 + 96 + 416 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (362944996417) 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, 72542971 + ... + 72547973.

Almost surely, 2^362944996416 is an apocalyptic number.

362944996416 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 362944996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556171181280).

362944996416 is an abundant number, since it is smaller than the sum of its proper divisors (749397366144).

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

362944996416 is a wasteful number, since it uses less digits than its factorization.

362944996416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5181 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 362944996416 in words is "three hundred sixty-two billion, nine hundred forty-four million, nine hundred ninety-six thousand, four hundred sixteen".