345384798255 has 240 divisors, whose sum is σ = 735267151872. Its totient is φ = 151937596800.

The previous prime is 345384798197. The next prime is 345384798329. The reversal of 345384798255 is 552897483543.

345384798255 is a `hidden beast` number, since 3 + 4 + 5 + 38 + 479 + 82 + 55 = 666.

It is not a de Polignac number, because 345384798255 - 2⁸ = 345384797999 is a prime.

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

Its product of digits (145152000) is a multiple of the sum of its prime factors (800).

It is a junction number, because it is equal to n+sod(n) for n = 345384798192 and 345384798201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 901787794 + ... + 901788176.

Almost surely, 2^345384798255 is an apocalyptic number.

345384798255 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345384798255 is an abundant number, since it is smaller than the sum of its proper divisors (389882353617).

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

345384798255 is a wasteful number, since it uses less digits than its factorization.

345384798255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 760 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 345384798255 in words is "three hundred forty-five billion, three hundred eighty-four million, seven hundred ninety-eight thousand, two hundred fifty-five".