13149862968000 has 448 divisors, whose sum is σ = 48896234090496. Its totient is φ = 3085009920000.

The previous prime is 13149862967999. The next prime is 13149862968001. The reversal of 13149862968000 is 86926894131.

It is an interprime number because it is at equal distance from previous prime (13149862967999) and next prime (13149862968001).

It is not an unprimeable number, because it can be changed into a prime (13149862968001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7380612 + ... + 8987388.

Almost surely, 2^{13149862968000} is an apocalyptic number.

13149862968000 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 13149862968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24448117045248).

13149862968000 is an abundant number, since it is smaller than the sum of its proper divisors (35746371122496).

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

13149862968000 is a wasteful number, since it uses less digits than its factorization.

13149862968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606849 (or 1606829 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 13149862968000 in words is "thirteen trillion, one hundred forty-nine billion, eight hundred sixty-two million, nine hundred sixty-eight thousand".