13778728964 has 48 divisors (see below), whose sum is σ = 32375204736. Its totient is φ = 4955385600.

The previous prime is 13778728927. The next prime is 13778728969. The reversal of 13778728964 is 46982787731.

It is a junction number, because it is equal to n+sod(n) for n = 13778728897 and 13778728906.

It is not an unprimeable number, because it can be changed into a prime (13778728969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1716617 + ... + 1724624.

It is an arithmetic number, because the mean of its divisors is an integer number (674483432).

Almost surely, 2^13778728964 is an apocalyptic number.

13778728964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13778728964 is an abundant number, since it is smaller than the sum of its proper divisors (18596475772).

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

13778728964 is a wasteful number, since it uses less digits than its factorization.

13778728964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441276 (or 3441274 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 62.

The spelling of 13778728964 in words is "thirteen billion, seven hundred seventy-eight million, seven hundred twenty-eight thousand, nine hundred sixty-four".