14334434772 has 96 divisors (see below), whose sum is σ = 39313693440. Its totient is φ = 3979238400.

The previous prime is 14334434759. The next prime is 14334434789. The reversal of 14334434772 is 27743443341.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 2511522 + ... + 2517222.

It is an arithmetic number, because the mean of its divisors is an integer number (409517640).

Almost surely, 2^14334434772 is an apocalyptic number.

14334434772 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 14334434772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656846720).

14334434772 is an abundant number, since it is smaller than the sum of its proper divisors (24979258668).

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

14334434772 is a wasteful number, since it uses less digits than its factorization.

14334434772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561 (or 6559 counting only the distinct ones).

The product of its digits is 677376, while the sum is 42.

The spelling of 14334434772 in words is "fourteen billion, three hundred thirty-four million, four hundred thirty-four thousand, seven hundred seventy-two".