13777937838 has 160 divisors (see below), whose sum is σ = 35833501440. Its totient is φ = 3875713920.

The previous prime is 13777937809. The next prime is 13777937843. The reversal of 13777937838 is 83873977731.

It is a super-2 number, since 2×13777937838² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 24214018 + ... + 24214586.

It is an arithmetic number, because the mean of its divisors is an integer number (223959384).

Almost surely, 2^13777937838 is an apocalyptic number.

13777937838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13777937838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17916750720).

13777937838 is an abundant number, since it is smaller than the sum of its proper divisors (22055563602).

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

13777937838 is a wasteful number, since it uses less digits than its factorization.

13777937838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its digits is 37340352, while the sum is 63.

The spelling of 13777937838 in words is "thirteen billion, seven hundred seventy-seven million, nine hundred thirty-seven thousand, eight hundred thirty-eight".