14372134688520 has 512 divisors, whose sum is σ = 60492154060800. Its totient is φ = 2957392982016.

The previous prime is 14372134688477. The next prime is 14372134688563. The reversal of 14372134688520 is 2588643127341.

14372134688520 is a `hidden beast` number, since 1 + 4 + 3 + 7 + 2 + 1 + 34 + 6 + 88 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (14372134688477) and next prime (14372134688563).

It is a super-3 number, since 3×14372134688520³ (a number of 40 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 127 ways as a sum of consecutive naturals, for example, 524917 + ... + 5387003.

It is an arithmetic number, because the mean of its divisors is an integer number (118148738400).

Almost surely, 2^{14372134688520} is an apocalyptic number.

14372134688520 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 14372134688520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30246077030400).

14372134688520 is an abundant number, since it is smaller than the sum of its proper divisors (46120019372280).

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

14372134688520 is a wasteful number, since it uses less digits than its factorization.

14372134688520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862154 (or 4862144 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 14372134688520 in words is "fourteen trillion, three hundred seventy-two billion, one hundred thirty-four million, six hundred eighty-eight thousand, five hundred twenty".