14458379520 has 288 divisors, whose sum is σ = 50581641600. Its totient is φ = 3497951232.

The previous prime is 14458379497. The next prime is 14458379527. The reversal of 14458379520 is 2597385441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14458379520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14458379527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2942826 + ... + 2947734.

It is an arithmetic number, because the mean of its divisors is an integer number (175630700).

Almost surely, 2^14458379520 is an apocalyptic number.

14458379520 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 14458379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25290820800).

14458379520 is an abundant number, since it is smaller than the sum of its proper divisors (36123262080).

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

14458379520 is a wasteful number, since it uses less digits than its factorization.

14458379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

14458379520 divided by its sum of digits (48) gives a triangular number (301216240 = T₂₄₅₄₄).

The spelling of 14458379520 in words is "fourteen billion, four hundred fifty-eight million, three hundred seventy-nine thousand, five hundred twenty".