13935354048 has 504 divisors, whose sum is σ = 51831995904. Its totient is φ = 3611174400.

The previous prime is 13935354023. The next prime is 13935354101. The reversal of 13935354048 is 84045353931.

13935354048 is a `hidden beast` number, since 1 + 39 + 3 + 535 + 40 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 13935353994 and 13935354012.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32332393 + ... + 32332823.

Almost surely, 2^13935354048 is an apocalyptic number.

13935354048 is a gapful number since it is divisible by the number (18) 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 13935354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25915997952).

13935354048 is an abundant number, since it is smaller than the sum of its proper divisors (37896641856).

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

13935354048 is an frugal number, since it uses more digits than its factorization.

13935354048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13935354048 in words is "thirteen billion, nine hundred thirty-five million, three hundred fifty-four thousand, forty-eight".