13257223226016 has 96 divisors (see below), whose sum is σ = 43387276036608. Its totient is φ = 3443434602240.

The previous prime is 13257223225973. The next prime is 13257223226057. The reversal of 13257223226016 is 61062232275231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896720370 + ... + 896735153.

It is an arithmetic number, because the mean of its divisors is an integer number (451950792048).

Almost surely, 2^{13257223226016} is an apocalyptic number.

13257223226016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13257223226016 is an abundant number, since it is smaller than the sum of its proper divisors (30130052810592).

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

13257223226016 is a wasteful number, since it uses less digits than its factorization.

13257223226016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793455554 (or 1793455546 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13257223226016 in words is "thirteen trillion, two hundred fifty-seven billion, two hundred twenty-three million, two hundred twenty-six thousand, sixteen".