13231690348800 has 3456 divisors, whose sum is σ = 61447467110400. Its totient is φ = 2440809676800.

The previous prime is 13231690348787. The next prime is 13231690348823. The reversal of 13231690348800 is 884309613231.

It is a super-2 number, since 2×13231690348800² (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 self number, because there is not a number n which added to its sum of digits gives 13231690348800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57780307086 + ... + 57780307314.

It is an arithmetic number, because the mean of its divisors is an integer number (17779938400).

Almost surely, 2^{13231690348800} is an apocalyptic number.

13231690348800 is a gapful number since it is divisible by the number (10) 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 13231690348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723733555200).

13231690348800 is an abundant number, since it is smaller than the sum of its proper divisors (48215776761600).

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

13231690348800 is a wasteful number, since it uses less digits than its factorization.

13231690348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 13231690348800 in words is "thirteen trillion, two hundred thirty-one billion, six hundred ninety million, three hundred forty-eight thousand, eight hundred".