13813174998 has 192 divisors, whose sum is σ = 37683985920. Its totient is φ = 3671034048.

The previous prime is 13813174891. The next prime is 13813175003. The reversal of 13813174998 is 89947131831.

It is a happy number.

13813174998 is a `hidden beast` number, since 1 + 381 + 3 + 174 + 9 + 98 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7397661 + ... + 7399527.

It is an arithmetic number, because the mean of its divisors is an integer number (196270760).

Almost surely, 2^13813174998 is an apocalyptic number.

13813174998 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 13813174998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841992960).

13813174998 is an abundant number, since it is smaller than the sum of its proper divisors (23870810922).

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

13813174998 is a wasteful number, since it uses less digits than its factorization.

13813174998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1939 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 13813174998 in words is "thirteen billion, eight hundred thirteen million, one hundred seventy-four thousand, nine hundred ninety-eight".