14182820832 has 96 divisors (see below), whose sum is σ = 38988552960. Its totient is φ = 4505768960.

The previous prime is 14182820803. The next prime is 14182820837. The reversal of 14182820832 is 23802828141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14182820832² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14182820837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609019 + ... + 631877.

It is an arithmetic number, because the mean of its divisors is an integer number (406130760).

Almost surely, 2^14182820832 is an apocalyptic number.

14182820832 is a gapful number since it is divisible by the number (12) 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 14182820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494276480).

14182820832 is an abundant number, since it is smaller than the sum of its proper divisors (24805732128).

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

14182820832 is a wasteful number, since it uses less digits than its factorization.

14182820832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23176 (or 23168 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 14182820832 in words is "fourteen billion, one hundred eighty-two million, eight hundred twenty thousand, eight hundred thirty-two".