13945723200 has 252 divisors, whose sum is σ = 49935254460. Its totient is φ = 3691192320.

The previous prime is 13945723199. The next prime is 13945723201. The reversal of 13945723200 is 232754931.

It is an interprime number because it is at equal distance from previous prime (13945723199) and next prime (13945723201).

It can be written as a sum of positive squares in 6 ways, for example, as 419102784 + 13526620416 = 20472^2 + 116304^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945723201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1969266 + ... + 1976334.

Almost surely, 2^13945723200 is an apocalyptic number.

13945723200 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 13945723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967627230).

13945723200 is an abundant number, since it is smaller than the sum of its proper divisors (35989531260).

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

13945723200 is a wasteful number, since it uses less digits than its factorization.

13945723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13945723200 in words is "thirteen billion, nine hundred forty-five million, seven hundred twenty-three thousand, two hundred".