349156901025 has 81 divisors (see below), whose sum is σ = 649844245011. Its totient is φ = 186089380560.

The previous prime is 349156901011. The next prime is 349156901047. The reversal of 349156901025 is 520109651943.

The square root of 349156901025 is 590895.

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

349156901025 is a `hidden beast` number, since 3 + 491 + 56 + 9 + 0 + 102 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125696484369 + 223460416656 = 354537^2 + 472716^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 349156901025 - 2²⁷ = 349022683297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 80 ways as a sum of consecutive naturals, for example, 239311746 + ... + 239313204.

Almost surely, 2^349156901025 is an apocalyptic number.

349156901025 is the 590895-th square number.

349156901025 is the 295448-th centered octagonal number.

It is an amenable number.

349156901025 is a deficient number, since it is larger than the sum of its proper divisors (300687343986).

349156901025 is an frugal number, since it uses more digits than its factorization.

349156901025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 349156901025 in words is "three hundred forty-nine billion, one hundred fifty-six million, nine hundred one thousand, twenty-five".