13074781104 has 320 divisors, whose sum is σ = 47791226880. Its totient is φ = 3323393280.

The previous prime is 13074781079. The next prime is 13074781127. The reversal of 13074781104 is 40118747031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1559227 + ... + 1567589.

It is an arithmetic number, because the mean of its divisors is an integer number (149347584).

Almost surely, 2^13074781104 is an apocalyptic number.

13074781104 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 13074781104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23895613440).

13074781104 is an abundant number, since it is smaller than the sum of its proper divisors (34716445776).

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

13074781104 is a wasteful number, since it uses less digits than its factorization.

13074781104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 13074781104 in words is "thirteen billion, seventy-four million, seven hundred eighty-one thousand, one hundred four".