352237502016 has 105 divisors (see below), whose sum is σ = 1044268987531. Its totient is φ = 117398256768.

The previous prime is 352237501963. The next prime is 352237502021. The reversal of 352237502016 is 610205732253.

The square root of 352237502016 is 593496.

It is a perfect power (a square), and thus also a powerful number.

352237502016 is a `hidden beast` number, since 352 + 237 + 50 + 20 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 42727591 + ... + 42735833.

Almost surely, 2^352237502016 is an apocalyptic number.

352237502016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

352237502016 is the 593496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352237502016

352237502016 is an abundant number, since it is smaller than the sum of its proper divisors (692031485515).

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

352237502016 is an frugal number, since it uses more digits than its factorization.

352237502016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16510 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Multiplying 352237502016 by its sum of digits (36), we get a square (12680550072576 = 3560976²).

352237502016 divided by its sum of digits (36) gives a square (9784375056 = 98916²).

The spelling of 352237502016 in words is "three hundred fifty-two billion, two hundred thirty-seven million, five hundred two thousand, sixteen".