345971005249 has 9 divisors (see below), whose sum is σ = 351251832897. Its totient is φ = 340768438164.

The previous prime is 345971005243. The next prime is 345971005253. The reversal of 345971005249 is 942500179543.

The square root of 345971005249 is 588193.

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

It is not a de Polignac number, because 345971005249 - 2²⁷ = 345836787521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345971005243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39404542 + ... + 39413320.

It is an arithmetic number, because the mean of its divisors is an integer number (39027981433).

Almost surely, 2^345971005249 is an apocalyptic number.

345971005249 is the 588193-rd square number.

345971005249 is the 294097-th centered octagonal number.

It is an amenable number.

345971005249 is a deficient number, since it is larger than the sum of its proper divisors (5280827648).

345971005249 is an frugal number, since it uses more digits than its factorization.

345971005249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17692 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

Multiplying 345971005249 by its sum of digits (49), we get a square (16952579257201 = 4117351²).

The spelling of 345971005249 in words is "three hundred forty-five billion, nine hundred seventy-one million, five thousand, two hundred forty-nine".