13457780112 has 160 divisors (see below), whose sum is σ = 40514549760. Its totient is φ = 3769758720.

The previous prime is 13457780111. The next prime is 13457780117. The reversal of 13457780112 is 21108775431.

It is a happy number.

It is a super-2 number, since 2×13457780112² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13457780111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10327653 + ... + 10328955.

It is an arithmetic number, because the mean of its divisors is an integer number (253215936).

Almost surely, 2^13457780112 is an apocalyptic number.

13457780112 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 13457780112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257274880).

13457780112 is an abundant number, since it is smaller than the sum of its proper divisors (27056769648).

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

13457780112 is a wasteful number, since it uses less digits than its factorization.

13457780112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 13457780112 in words is "thirteen billion, four hundred fifty-seven million, seven hundred eighty thousand, one hundred twelve".