13462339968 has 864 divisors, whose sum is σ = 52071463080. Its totient is φ = 3448811520.

The previous prime is 13462339931. The next prime is 13462339973. The reversal of 13462339968 is 86993326431.

13462339968 is a `hidden beast` number, since 1 + 3 + 4 + 623 + 3 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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.

Its product of digits (5038848) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 184415580 + ... + 184415652.

Almost surely, 2^13462339968 is an apocalyptic number.

13462339968 is a gapful number since it is divisible by the number (18) 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 13462339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26035731540).

13462339968 is an abundant number, since it is smaller than the sum of its proper divisors (38609123112).

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

13462339968 is an equidigital number, since it uses as much as digits as its factorization.

13462339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 13462339968 in words is "thirteen billion, four hundred sixty-two million, three hundred thirty-nine thousand, nine hundred sixty-eight".