13938778000 has 160 divisors (see below), whose sum is σ = 39762597888. Its totient is φ = 4624704000.

The previous prime is 13938777997. The next prime is 13938778019. The reversal of 13938778000 is 87783931.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417942 + ... + 450058.

Almost surely, 2^13938778000 is an apocalyptic number.

13938778000 is a gapful number since it is divisible by the number (10) 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 13938778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19881298944).

13938778000 is an abundant number, since it is smaller than the sum of its proper divisors (25823819888).

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

13938778000 is a wasteful number, since it uses less digits than its factorization.

13938778000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32178 (or 32162 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 13938778000 in words is "thirteen billion, nine hundred thirty-eight million, seven hundred seventy-eight thousand".