34815454921 has 27 divisors (see below), whose sum is σ = 39039237927. Its totient is φ = 31033482480.

The previous prime is 34815454907. The next prime is 34815454937. The reversal of 34815454921 is 12945451843.

The square root of 34815454921 is 186589.

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

It can be written as a sum of positive squares in only one way, i.e., 5150215225 + 29665239696 = 71765^2 + 172236^2 .

It is not a de Polignac number, because 34815454921 - 2³³ = 26225520329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34815454901) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 75195136 + ... + 75195598.

It is an arithmetic number, because the mean of its divisors is an integer number (1445897701).

Almost surely, 2^34815454921 is an apocalyptic number.

34815454921 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34815454921 is the 186589-th square number.

34815454921 is the 93295-th centered octagonal number.

It is an amenable number.

34815454921 is a deficient number, since it is larger than the sum of its proper divisors (4223783006).

34815454921 is an frugal number, since it uses more digits than its factorization.

34815454921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The spelling of 34815454921 in words is "thirty-four billion, eight hundred fifteen million, four hundred fifty-four thousand, nine hundred twenty-one".