14688400896 has 480 divisors, whose sum is σ = 49133626080. Its totient is φ = 4303798272.

The previous prime is 14688400871. The next prime is 14688400931. The reversal of 14688400896 is 69800488641.

14688400896 is a `hidden beast` number, since 146 + 8 + 8 + 400 + 8 + 96 = 666.

It is a super-2 number, since 2×14688400896² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 312519145 + ... + 312519191.

It is an arithmetic number, because the mean of its divisors is an integer number (102361721).

Almost surely, 2^14688400896 is an apocalyptic number.

14688400896 is a gapful number since it is divisible by the number (16) 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 14688400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566813040).

14688400896 is an abundant number, since it is smaller than the sum of its proper divisors (34445225184).

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

14688400896 is an equidigital number, since it uses as much as digits as its factorization.

14688400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 14688400896 in words is "fourteen billion, six hundred eighty-eight million, four hundred thousand, eight hundred ninety-six".