14642234880 has 960 divisors, whose sum is σ = 60893477568. Its totient is φ = 2972712960.

The previous prime is 14642234843. The next prime is 14642234891. The reversal of 14642234880 is 8843224641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×14642234880² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200578524 + ... + 200578596.

Almost surely, 2^14642234880 is an apocalyptic number.

14642234880 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 14642234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30446738784).

14642234880 is an abundant number, since it is smaller than the sum of its proper divisors (46251242688).

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

14642234880 is a wasteful number, since it uses less digits than its factorization.

14642234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 14642234880 in words is "fourteen billion, six hundred forty-two million, two hundred thirty-four thousand, eight hundred eighty".