345196185255936 has 837 divisors, whose sum is σ = 1204603034497239. Its totient is φ = 98627481501696.

The previous prime is 345196185255907. The next prime is 345196185255953. The reversal of 345196185255936 is 639552581691543.

The square root of 345196185255936 is 18579456.

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

345196185255936 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 9 + 6 + 1 + 8 + 5 + 25 + 593 + 6 = 666.

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

Its product of digits (1049760000) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49313740750845 + ... + 49313740750851.

Almost surely, 2^{345196185255936} is an apocalyptic number.

345196185255936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

345196185255936 is the 18579456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345196185255936

345196185255936 is an abundant number, since it is smaller than the sum of its proper divisors (859406849241303).

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

345196185255936 is an frugal number, since it uses more digits than its factorization.

345196185255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 12 counting only the distinct ones).

The product of its digits is 1049760000, while the sum is 72.

The spelling of 345196185255936 in words is "three hundred forty-five trillion, one hundred ninety-six billion, one hundred eighty-five million, two hundred fifty-five thousand, nine hundred thirty-six".