13850918400 has 480 divisors, whose sum is σ = 50513481216. Its totient is φ = 3345408000.

The previous prime is 13850918371. The next prime is 13850918423. The reversal of 13850918400 is 481905831.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 51110265 + ... + 51110535.

Almost surely, 2^13850918400 is an apocalyptic number.

13850918400 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 13850918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25256740608).

13850918400 is an abundant number, since it is smaller than the sum of its proper divisors (36662562816).

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

13850918400 is an equidigital number, since it uses as much as digits as its factorization.

13850918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 13850918400 in words is "thirteen billion, eight hundred fifty million, nine hundred eighteen thousand, four hundred".