14253987600 has 90 divisors (see below), whose sum is σ = 49465308906. Its totient is φ = 3801062400.

The previous prime is 14253987551. The next prime is 14253987641. The reversal of 14253987600 is 678935241.

14253987600 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 39 + 8 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 129140496 + 14124847104 = 11364^2 + 118848^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1976121 + ... + 1983320.

It is a 1-persistent number, because it is pandigital, but 2⋅14253987600 = 28507975200 is not.

Almost surely, 2^14253987600 is an apocalyptic number.

14253987600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14253987600 is an abundant number, since it is smaller than the sum of its proper divisors (35211321306).

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

14253987600 is a wasteful number, since it uses less digits than its factorization.

14253987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959465 (or 3959451 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14253987600 in words is "fourteen billion, two hundred fifty-three million, nine hundred eighty-seven thousand, six hundred".