13386929349024 has 2160 divisors, whose sum is σ = 53555114511360. Its totient is φ = 3268180016640.

The previous prime is 13386929349023. The next prime is 13386929349037. The reversal of 13386929349024 is 42094392968331.

13386929349024 is a `hidden beast` number, since 1 + 3 + 38 + 6 + 9 + 2 + 93 + 490 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13386929349023) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 105408892449 + ... + 105408892575.

It is an arithmetic number, because the mean of its divisors is an integer number (24794034496).

Almost surely, 2^{13386929349024} is an apocalyptic number.

13386929349024 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 13386929349024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26777557255680).

13386929349024 is an abundant number, since it is smaller than the sum of its proper divisors (40168185162336).

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

13386929349024 is a wasteful number, since it uses less digits than its factorization.

13386929349024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 13386929349024 in words is "thirteen trillion, three hundred eighty-six billion, nine hundred twenty-nine million, three hundred forty-nine thousand, twenty-four".