14769983232 has 576 divisors, whose sum is σ = 48914718720. Its totient is φ = 4434186240.

The previous prime is 14769983161. The next prime is 14769983233. The reversal of 14769983232 is 23238996741.

14769983232 is a `hidden beast` number, since 1 + 476 + 99 + 83 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×14769983232² (a number of 21 digits) contains 22 as substring.

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

Its product of digits (3919104) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14769983233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399188718 + ... + 399188754.

Almost surely, 2^14769983232 is an apocalyptic number.

14769983232 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 14769983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24457359360).

14769983232 is an abundant number, since it is smaller than the sum of its proper divisors (34144735488).

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

14769983232 is an frugal number, since it uses more digits than its factorization.

14769983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

It can be divided in two parts, 14769 and 983232, that added together give a square (998001 = 999²).

The spelling of 14769983232 in words is "fourteen billion, seven hundred sixty-nine million, nine hundred eighty-three thousand, two hundred thirty-two".