14504906052 has 288 divisors, whose sum is σ = 47698560000. Its totient is φ = 3609121536.

The previous prime is 14504906051. The next prime is 14504906063. The reversal of 14504906052 is 25060940541.

14504906052 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 49 + 0 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14504905998 and 14504906016.

It is not an unprimeable number, because it can be changed into a prime (14504906051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29067699 + ... + 29068197.

It is an arithmetic number, because the mean of its divisors is an integer number (165620000).

Almost surely, 2^14504906052 is an apocalyptic number.

14504906052 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 14504906052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849280000).

14504906052 is an abundant number, since it is smaller than the sum of its proper divisors (33193653948).

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

14504906052 is a wasteful number, since it uses less digits than its factorization.

14504906052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 14504906052 in words is "fourteen billion, five hundred four million, nine hundred six thousand, fifty-two".