14734228080 has 480 divisors, whose sum is σ = 55856424960. Its totient is φ = 3188275200.

The previous prime is 14734228079. The next prime is 14734228153. The reversal of 14734228080 is 8082243741.

It is a super-2 number, since 2×14734228080² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11702491 + ... + 11703749.

It is an arithmetic number, because the mean of its divisors is an integer number (116367552).

Almost surely, 2^14734228080 is an apocalyptic number.

14734228080 is a gapful number since it is divisible by the number (10) 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 14734228080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27928212480).

14734228080 is an abundant number, since it is smaller than the sum of its proper divisors (41122196880).

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

14734228080 is a wasteful number, since it uses less digits than its factorization.

14734228080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 14734228080 in words is "fourteen billion, seven hundred thirty-four million, two hundred twenty-eight thousand, eighty".