13149669881964 has 288 divisors, whose sum is σ = 39462950338560. Its totient is φ = 3369636547200.

The previous prime is 13149669881941. The next prime is 13149669882049. The reversal of 13149669881964 is 46918896694131.

It is a super-2 number, since 2×13149669881964² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146992329 + ... + 147081759.

It is an arithmetic number, because the mean of its divisors is an integer number (137024133120).

Almost surely, 2^{13149669881964} is an apocalyptic number.

13149669881964 is a gapful number since it is divisible by the number (14) 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 13149669881964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19731475169280).

13149669881964 is an abundant number, since it is smaller than the sum of its proper divisors (26313280456596).

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

13149669881964 is a wasteful number, since it uses less digits than its factorization.

13149669881964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89769 (or 89760 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 75.

The spelling of 13149669881964 in words is "thirteen trillion, one hundred forty-nine billion, six hundred sixty-nine million, eight hundred eighty-one thousand, nine hundred sixty-four".