14390842752 has 512 divisors, whose sum is σ = 51312038400. Its totient is φ = 3911639040.

The previous prime is 14390842747. The next prime is 14390842769. The reversal of 14390842752 is 25724809341.

It is a super-2 number, since 2×14390842752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14390842698 and 14390842707.

It is a congruent number.

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, 18285303 + ... + 18286089.

It is an arithmetic number, because the mean of its divisors is an integer number (100218825).

Almost surely, 2^14390842752 is an apocalyptic number.

14390842752 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 14390842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25656019200).

14390842752 is an abundant number, since it is smaller than the sum of its proper divisors (36921195648).

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

14390842752 is a wasteful number, since it uses less digits than its factorization.

14390842752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14390842752 in words is "fourteen billion, three hundred ninety million, eight hundred forty-two thousand, seven hundred fifty-two".