13262746896 has 225 divisors, whose sum is σ = 44751301749. Its totient is φ = 3781064448.

The previous prime is 13262746891. The next prime is 13262746897. The reversal of 13262746896 is 69864726231.

The square root of 13262746896 is 115164.

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

13262746896 is a `hidden beast` number, since 1 + 3 + 2 + 627 + 4 + 6 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11470410000 + 1792336896 = 107100^2 + 42336^2 .

It is a super-3 number, since 3×13262746896³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13262746891) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29021100 + ... + 29021556.

Almost surely, 2^13262746896 is an apocalyptic number.

13262746896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13262746896 is the 115164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13262746896

13262746896 is an abundant number, since it is smaller than the sum of its proper divisors (31488554853).

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

13262746896 is an frugal number, since it uses more digits than its factorization.

13262746896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 469 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 13262746896 in words is "thirteen billion, two hundred sixty-two million, seven hundred forty-six thousand, eight hundred ninety-six".