13948159410 has 96 divisors (see below), whose sum is σ = 37497987072. Its totient is φ = 3594773760.

The previous prime is 13948159409. The next prime is 13948159447. The reversal of 13948159410 is 1495184931.

13948159410 is a `hidden beast` number, since 1 + 3 + 9 + 48 + 1 + 594 + 10 = 666.

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 47 ways as a sum of consecutive naturals, for example, 377167 + ... + 412493.

It is an arithmetic number, because the mean of its divisors is an integer number (390604032).

Almost surely, 2^13948159410 is an apocalyptic number.

13948159410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13948159410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748993536).

13948159410 is an abundant number, since it is smaller than the sum of its proper divisors (23549827662).

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

13948159410 is a wasteful number, since it uses less digits than its factorization.

13948159410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35488 (or 35485 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

It can be divided in two parts, 1394815 and 9410, that added together give a square (1404225 = 1185²).

The spelling of 13948159410 in words is "thirteen billion, nine hundred forty-eight million, one hundred fifty-nine thousand, four hundred ten".