13958924100 has 144 divisors (see below), whose sum is σ = 44165714880. Its totient is φ = 3375820800.

The previous prime is 13958924071. The next prime is 13958924101. The reversal of 13958924100 is 142985931.

It is not an unprimeable number, because it can be changed into a prime (13958924101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424016 + ... + 1433784.

Almost surely, 2^13958924100 is an apocalyptic number.

13958924100 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 13958924100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082857440).

13958924100 is an abundant number, since it is smaller than the sum of its proper divisors (30206790780).

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

13958924100 is a wasteful number, since it uses less digits than its factorization.

13958924100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10230 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 13958924100 in words is "thirteen billion, nine hundred fifty-eight million, nine hundred twenty-four thousand, one hundred".