354399949225 has 81 divisors (see below), whose sum is σ = 520536587823. Its totient is φ = 238659402240.

The previous prime is 354399949219. The next prime is 354399949261. The reversal of 354399949225 is 522949993453.

The square root of 354399949225 is 595315.

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

It can be written as a sum of positive squares in 13 ways, for example, as 302311929241 + 52088019984 = 549829^2 + 228228^2 .

It is not a de Polignac number, because 354399949225 - 2⁵ = 354399949193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1521029709 + ... + 1521029941.

Almost surely, 2^354399949225 is an apocalyptic number.

354399949225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

354399949225 is the 595315-th square number.

354399949225 is the 297658-th centered octagonal number.

It is an amenable number.

354399949225 is a deficient number, since it is larger than the sum of its proper divisors (166136638598).

354399949225 is an frugal number, since it uses more digits than its factorization.

354399949225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its digits is 94478400, while the sum is 64.

Multiplying 354399949225 by its sum of digits (64), we get a square (22681596750400 = 4762520²).

The spelling of 354399949225 in words is "three hundred fifty-four billion, three hundred ninety-nine million, nine hundred forty-nine thousand, two hundred twenty-five".