13879196100 has 1215 divisors, whose sum is σ = 61109675319. Its totient is φ = 2714342400.

The previous prime is 13879196063. The next prime is 13879196183. The reversal of 13879196100 is 169197831.

The square root of 13879196100 is 117810.

It is a perfect power (a square), and thus also a powerful number.

13879196100 is a `hidden beast` number, since 13 + 8 + 7 + 9 + 19 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 324648324 + 13554547776 = 18018^2 + 116424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 816423292 + ... + 816423308.

Almost surely, 2^13879196100 is an apocalyptic number.

13879196100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13879196100 is the 117810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13879196100

13879196100 is an abundant number, since it is smaller than the sum of its proper divisors (47230479219).

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

13879196100 is a wasteful number, since it uses less digits than its factorization.

13879196100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 13879196100 in words is "thirteen billion, eight hundred seventy-nine million, one hundred ninety-six thousand, one hundred".