14861006688 has 192 divisors, whose sum is σ = 45338807808. Its totient is φ = 4212203520.

The previous prime is 14861006687. The next prime is 14861006689. The reversal of 14861006688 is 88660016841.

It is an interprime number because it is at equal distance from previous prime (14861006687) and next prime (14861006689).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14861006687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2995506 + ... + 3000462.

It is an arithmetic number, because the mean of its divisors is an integer number (236139624).

Almost surely, 2^14861006688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14861006688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22669403904).

14861006688 is an abundant number, since it is smaller than the sum of its proper divisors (30477801120).

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

14861006688 is a wasteful number, since it uses less digits than its factorization.

14861006688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 14861006688 in words is "fourteen billion, eight hundred sixty-one million, six thousand, six hundred eighty-eight".