14534004576 has 192 divisors, whose sum is σ = 47297779200. Its totient is φ = 3805249536.

The previous prime is 14534004557. The next prime is 14534004607. The reversal of 14534004576 is 67540043541.

It is a happy number.

It is a super-2 number, since 2×14534004576² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208320 + ... + 1220288.

It is an arithmetic number, because the mean of its divisors is an integer number (246342600).

Almost surely, 2^14534004576 is an apocalyptic number.

14534004576 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 14534004576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23648889600).

14534004576 is an abundant number, since it is smaller than the sum of its proper divisors (32763774624).

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

14534004576 is a wasteful number, since it uses less digits than its factorization.

14534004576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12141 (or 12133 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 14534004576 in words is "fourteen billion, five hundred thirty-four million, four thousand, five hundred seventy-six".