13214808882432 has 180 divisors, whose sum is σ = 39495620678976. Its totient is φ = 4394713052160.

The previous prime is 13214808882427. The next prime is 13214808882461. The reversal of 13214808882432 is 23428880841231.

It is a happy number.

13214808882432 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 480 + 88 + 82 + 4 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8197903 + ... + 9676529.

Almost surely, 2^{13214808882432} is an apocalyptic number.

13214808882432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214808882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747810339488).

13214808882432 is an abundant number, since it is smaller than the sum of its proper divisors (26280811796544).

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

13214808882432 is an equidigital number, since it uses as much as digits as its factorization.

13214808882432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479086 (or 1479063 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 13214808882432 in words is "thirteen trillion, two hundred fourteen billion, eight hundred eight million, eight hundred eighty-two thousand, four hundred thirty-two".