345222053136 has 225 divisors, whose sum is σ = 1055757664071. Its totient is φ = 108890578368.

The previous prime is 345222053123. The next prime is 345222053161. The reversal of 345222053136 is 631350222543.

The square root of 345222053136 is 587556.

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

345222053136 is a `hidden beast` number, since 3 + 452 + 2 + 20 + 53 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345222053136.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 401887875 + ... + 401888733.

Almost surely, 2^345222053136 is an apocalyptic number.

345222053136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

345222053136 is the 587556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345222053136

345222053136 is an abundant number, since it is smaller than the sum of its proper divisors (710535610935).

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

345222053136 is an frugal number, since it uses more digits than its factorization.

345222053136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Multiplying 345222053136 by its sum of digits (36), we get a square (12427993912896 = 3525336²).

345222053136 divided by its sum of digits (36) gives a square (9589501476 = 97926²).

Adding to 345222053136 its reverse (631350222543), we get a palindrome (976572275679).

The spelling of 345222053136 in words is "three hundred forty-five billion, two hundred twenty-two million, fifty-three thousand, one hundred thirty-six".