14128874496 has 176 divisors, whose sum is σ = 45647772480. Its totient is φ = 4281384960.

The previous prime is 14128874483. The next prime is 14128874509. The reversal of 14128874496 is 69447882141.

14128874496 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 88 + 74 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (14128874483) and next prime (14128874509).

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×14128874496³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280900 + ... + 327356.

Almost surely, 2^14128874496 is an apocalyptic number.

14128874496 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 14128874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823886240).

14128874496 is an abundant number, since it is smaller than the sum of its proper divisors (31518897984).

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

14128874496 is a wasteful number, since it uses less digits than its factorization.

14128874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46497 (or 46473 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 14128874496 in words is "fourteen billion, one hundred twenty-eight million, eight hundred seventy-four thousand, four hundred ninety-six".