14864452512 has 384 divisors, whose sum is σ = 51859906560. Its totient is φ = 3619123200.

The previous prime is 14864452481. The next prime is 14864452529. The reversal of 14864452512 is 21525446841.

It is a happy number.

It is a super-2 number, since 2×14864452512² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5825637 + ... + 5828187.

It is an arithmetic number, because the mean of its divisors is an integer number (135051840).

Almost surely, 2^14864452512 is an apocalyptic number.

14864452512 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 14864452512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25929953280).

14864452512 is an abundant number, since it is smaller than the sum of its proper divisors (36995454048).

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

14864452512 is a wasteful number, since it uses less digits than its factorization.

14864452512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2628 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The spelling of 14864452512 in words is "fourteen billion, eight hundred sixty-four million, four hundred fifty-two thousand, five hundred twelve".