13426338176832 has 1008 divisors, whose sum is σ = 44580824386560. Its totient is φ = 3554564622336.

The previous prime is 13426338176731. The next prime is 13426338176837. The reversal of 13426338176832 is 23867183362431.

It is a Harshad number since it is a multiple of its sum of digits (57).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13426338176837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43734000423 + ... + 43734000729.

It is an arithmetic number, because the mean of its divisors is an integer number (44227008320).

Almost surely, 2^{13426338176832} is an apocalyptic number.

13426338176832 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 13426338176832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22290412193280).

13426338176832 is an abundant number, since it is smaller than the sum of its proper divisors (31154486209728).

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

13426338176832 is a wasteful number, since it uses less digits than its factorization.

13426338176832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 580 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 57.

The spelling of 13426338176832 in words is "thirteen trillion, four hundred twenty-six billion, three hundred thirty-eight million, one hundred seventy-six thousand, eight hundred thirty-two".