14928861168 has 400 divisors, whose sum is σ = 50363026560. Its totient is φ = 4227489792.

The previous prime is 14928861149. The next prime is 14928861173. The reversal of 14928861168 is 86116882941.

It is a happy number.

14928861168 is a `hidden beast` number, since 1 + 492 + 8 + 86 + 11 + 68 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13460998 + ... + 13462106.

Almost surely, 2^14928861168 is an apocalyptic number.

14928861168 is a gapful number since it is divisible by the number (18) 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 14928861168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181513280).

14928861168 is an abundant number, since it is smaller than the sum of its proper divisors (35434165392).

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

14928861168 is a wasteful number, since it uses less digits than its factorization.

14928861168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1191 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

It can be divided in two parts, 14928 and 861168, that added together give a square (876096 = 936²).

The spelling of 14928861168 in words is "fourteen billion, nine hundred twenty-eight million, eight hundred sixty-one thousand, one hundred sixty-eight".