13233821182464 has 80 divisors (see below), whose sum is σ = 35524854969120. Its totient is φ = 4377599815680.

The previous prime is 13233821182411. The next prime is 13233821182487. The reversal of 13233821182464 is 46428112833231.

It is a super-2 number, since 2×13233821182464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32683399 + ... + 33085830.

It is an arithmetic number, because the mean of its divisors is an integer number (444060687114).

Almost surely, 2^{13233821182464} is an apocalyptic number.

It is an amenable number.

13233821182464 is an abundant number, since it is smaller than the sum of its proper divisors (22291033786656).

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

13233821182464 is an equidigital number, since it uses as much as digits as its factorization.

13233821182464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65769381 (or 65769365 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 13233821182464 in words is "thirteen trillion, two hundred thirty-three billion, eight hundred twenty-one million, one hundred eighty-two thousand, four hundred sixty-four".