13996281600 has 1620 divisors, whose sum is σ = 65553226200. Its totient is φ = 2926264320.

The previous prime is 13996281589. The next prime is 13996281601. The reversal of 13996281600 is 618269931.

It is a happy number.

13996281600 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 628 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13996281601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 482630386 + ... + 482630414.

Almost surely, 2^13996281600 is an apocalyptic number.

13996281600 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 13996281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32776613100).

13996281600 is an abundant number, since it is smaller than the sum of its proper divisors (51556944600).

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

13996281600 is a wasteful number, since it uses less digits than its factorization.

13996281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 13996281600 in words is "thirteen billion, nine hundred ninety-six million, two hundred eighty-one thousand, six hundred".