26834371344 has 405 divisors, whose sum is σ = 88905786879. Its totient is φ = 7548456960.

The previous prime is 26834371303. The next prime is 26834371367. The reversal of 26834371344 is 44317343862.

The square root of 26834371344 is 163812.

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

26834371344 is a `hidden beast` number, since 2 + 6 + 83 + 437 + 134 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3388636944 + 23445734400 = 58212^2 + 153120^2 .

Its product of digits (1161216) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 26834371344.

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, 367594092 + ... + 367594164.

Almost surely, 2^26834371344 is an apocalyptic number.

26834371344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26834371344 is the 163812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26834371344

26834371344 is an abundant number, since it is smaller than the sum of its proper divisors (62071415535).

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

26834371344 is a wasteful number, since it uses less digits than its factorization.

26834371344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 106 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 26834371344 in words is "twenty-six billion, eight hundred thirty-four million, three hundred seventy-one thousand, three hundred forty-four".