13557429312 has 112 divisors (see below), whose sum is σ = 41099963520. Its totient is φ = 3863642112.

The previous prime is 13557429253. The next prime is 13557429323. The reversal of 13557429312 is 21392475531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520864 + ... + 546272.

It is an arithmetic number, because the mean of its divisors is an integer number (366963960).

Almost surely, 2^13557429312 is an apocalyptic number.

13557429312 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 13557429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549981760).

13557429312 is an abundant number, since it is smaller than the sum of its proper divisors (27542534208).

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

13557429312 is a wasteful number, since it uses less digits than its factorization.

13557429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25828 (or 25818 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

13557429312 divided by its sum of digits (42) gives a triangular number (322795936 = T₂₅₄₀₈).

The spelling of 13557429312 in words is "thirteen billion, five hundred fifty-seven million, four hundred twenty-nine thousand, three hundred twelve".