13948953900 has 144 divisors (see below), whose sum is σ = 48837874176. Its totient is φ = 3000775680.

The previous prime is 13948953881. The next prime is 13948953901. The reversal of 13948953900 is 935984931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (13948953901) 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, 159664 + ... + 231063.

It is an arithmetic number, because the mean of its divisors is an integer number (339151904).

Almost surely, 2^13948953900 is an apocalyptic number.

13948953900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13948953900 is an abundant number, since it is smaller than the sum of its proper divisors (34888920276).

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

13948953900 is a wasteful number, since it uses less digits than its factorization.

13948953900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390768 (or 390761 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 13948953900 in words is "thirteen billion, nine hundred forty-eight million, nine hundred fifty-three thousand, nine hundred".