14768401032 has 512 divisors, whose sum is σ = 53816832000. Its totient is φ = 3640412160.

The previous prime is 14768401031. The next prime is 14768401051. The reversal of 14768401032 is 23010486741.

14768401032 is a `hidden beast` number, since 1 + 476 + 84 + 0 + 103 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14768401031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32315748 + ... + 32316204.

It is an arithmetic number, because the mean of its divisors is an integer number (105111000).

Almost surely, 2^14768401032 is an apocalyptic number.

14768401032 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 14768401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26908416000).

14768401032 is an abundant number, since it is smaller than the sum of its proper divisors (39048430968).

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

14768401032 is a wasteful number, since it uses less digits than its factorization.

14768401032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 14768401032 its reverse (23010486741), we get a palindrome (37778887773).

The spelling of 14768401032 in words is "fourteen billion, seven hundred sixty-eight million, four hundred one thousand, thirty-two".