352915148593296 has 135 divisors (see below), whose sum is σ = 1012375887561337. Its totient is φ = 114766148248320.

The previous prime is 352915148593243. The next prime is 352915148593307. The reversal of 352915148593296 is 692395841519253.

The square root of 352915148593296 is 18786036.

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

352915148593296 is a `hidden beast` number, since 3 + 5 + 2 + 9 + 1 + 5 + 1 + 4 + 8 + 593 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17005429527696 + 335909719065600 = 4123764^2 + 18327840^2 .

It is a super-2 number, since 2×352915148593296² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9242710621 + ... + 9242748803.

Almost surely, 2^{352915148593296} is an apocalyptic number.

352915148593296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

352915148593296 is the 18786036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352915148593296

352915148593296 is an abundant number, since it is smaller than the sum of its proper divisors (659460738968041).

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

352915148593296 is an frugal number, since it uses more digits than its factorization.

352915148593296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76462 (or 38229 counting only the distinct ones).

The product of its digits is 629856000, while the sum is 72.

The spelling of 352915148593296 in words is "three hundred fifty-two trillion, nine hundred fifteen billion, one hundred forty-eight million, five hundred ninety-three thousand, two hundred ninety-six".