13953738348 has 96 divisors (see below), whose sum is σ = 41181073920. Its totient is φ = 4044553920.

The previous prime is 13953738347. The next prime is 13953738389. The reversal of 13953738348 is 84383735931.

13953738348 is a `hidden beast` number, since 1 + 39 + 537 + 38 + 3 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13953738294 and 13953738303.

It is not an unprimeable number, because it can be changed into a prime (13953738341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228015 + ... + 282662.

It is an arithmetic number, because the mean of its divisors is an integer number (428969520).

Almost surely, 2^13953738348 is an apocalyptic number.

13953738348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13953738348 is an abundant number, since it is smaller than the sum of its proper divisors (27227335572).

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

13953738348 is a wasteful number, since it uses less digits than its factorization.

13953738348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510724 (or 510716 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 13953738348 in words is "thirteen billion, nine hundred fifty-three million, seven hundred thirty-eight thousand, three hundred forty-eight".