13374459904 has 117 divisors (see below), whose sum is σ = 29171124333. Its totient is φ = 6128418816.

The previous prime is 13374459883. The next prime is 13374459913. The reversal of 13374459904 is 40995447331.

The square root of 13374459904 is 115648.

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., 1978470400 + 11395989504 = 44480^2 + 106752^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96219067 + ... + 96219205.

It is an arithmetic number, because the mean of its divisors is an integer number (249325849).

Almost surely, 2^13374459904 is an apocalyptic number.

13374459904 is the 115648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13374459904

13374459904 is an abundant number, since it is smaller than the sum of its proper divisors (15796664429).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13374459904 is an frugal number, since it uses more digits than its factorization.

13374459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 13374459904 by its sum of digits (49), we get a square (655348535296 = 809536²).

The spelling of 13374459904 in words is "thirteen billion, three hundred seventy-four million, four hundred fifty-nine thousand, nine hundred four".