14868360000 has 700 divisors, whose sum is σ = 59480063412. Its totient is φ = 3649536000.

The previous prime is 14868359981. The next prime is 14868360011. The reversal of 14868360000 is 6386841.

It is a happy number.

14868360000 is a `hidden beast` number, since 1 + 48 + 6 + 8 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 13891922496 + 976437504 = 117864^2 + 31248^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 42119824 + ... + 42120176.

Almost surely, 2^14868360000 is an apocalyptic number.

14868360000 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 14868360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29740031706).

14868360000 is an abundant number, since it is smaller than the sum of its proper divisors (44611703412).

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

14868360000 is an equidigital number, since it uses as much as digits as its factorization.

14868360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14868360000 in words is "fourteen billion, eight hundred sixty-eight million, three hundred sixty thousand".