14616664920 has 1024 divisors, whose sum is σ = 61312204800. Its totient is φ = 3048192000.

The previous prime is 14616664913. The next prime is 14616664927. The reversal of 14616664920 is 2946661641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14616664913) and next prime (14616664927).

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

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 (14616664927) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 205868485 + ... + 205868555.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 2^14616664920 is an apocalyptic number.

14616664920 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 14616664920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30656102400).

14616664920 is an abundant number, since it is smaller than the sum of its proper divisors (46695539880).

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

14616664920 is a wasteful number, since it uses less digits than its factorization.

14616664920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14616664920 in words is "fourteen billion, six hundred sixteen million, six hundred sixty-four thousand, nine hundred twenty".