13903848000 has 672 divisors, whose sum is σ = 58104633600. Its totient is φ = 3172377600.

The previous prime is 13903847999. The next prime is 13903848043. The reversal of 13903848000 is 84830931.

13903848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24695719 + ... + 24696281.

Almost surely, 2^13903848000 is an apocalyptic number.

13903848000 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 13903848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29052316800).

13903848000 is an abundant number, since it is smaller than the sum of its proper divisors (44200785600).

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

13903848000 is an equidigital number, since it uses as much as digits as its factorization.

13903848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13903848000 in words is "thirteen billion, nine hundred three million, eight hundred forty-eight thousand".