345431364211263 has 48 divisors (see below), whose sum is σ = 511128159252480. Its totient is φ = 207337637770560.

The previous prime is 345431364211253. The next prime is 345431364211301. The reversal of 345431364211263 is 362112463134543.

It is a happy number.

It is not a de Polignac number, because 345431364211263 - 2⁵ = 345431364211231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345431364211223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85346506 + ... + 89302232.

It is an arithmetic number, because the mean of its divisors is an integer number (10648503317760).

Almost surely, 2^{345431364211263} is an apocalyptic number.

345431364211263 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345431364211263 is a deficient number, since it is larger than the sum of its proper divisors (165696795041217).

345431364211263 is a wasteful number, since it uses less digits than its factorization.

345431364211263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958068 (or 3958057 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 48.

The spelling of 345431364211263 in words is "three hundred forty-five trillion, four hundred thirty-one billion, three hundred sixty-four million, two hundred eleven thousand, two hundred sixty-three".