352493938944 has 1215 divisors, whose sum is σ = 1333384340211. Its totient is φ = 92334090240.

The previous prime is 352493938933. The next prime is 352493938991. The reversal of 352493938944 is 449839394253.

The square root of 352493938944 is 593712.

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

352493938944 is a `hidden beast` number, since 3 + 5 + 249 + 3 + 9 + 389 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11370772209 + ... + 11370772239.

Almost surely, 2^352493938944 is an apocalyptic number.

352493938944 is the 593712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352493938944

352493938944 is an abundant number, since it is smaller than the sum of its proper divisors (980890401267).

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

352493938944 is an equidigital number, since it uses as much as digits as its factorization.

352493938944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 62 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 352493938944 in words is "three hundred fifty-two billion, four hundred ninety-three million, nine hundred thirty-eight thousand, nine hundred forty-four".