14357381248 has 128 divisors (see below), whose sum is σ = 33907248000. Its totient is φ = 5924954112.

The previous prime is 14357381221. The next prime is 14357381249. The reversal of 14357381248 is 84218375341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14357381248² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14357381198 and 14357381207.

It is not an unprimeable number, because it can be changed into a prime (14357381249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17746668 + ... + 17747476.

It is an arithmetic number, because the mean of its divisors is an integer number (264900375).

Almost surely, 2^14357381248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14357381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953624000).

14357381248 is an abundant number, since it is smaller than the sum of its proper divisors (19549866752).

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

14357381248 is an equidigital number, since it uses as much as digits as its factorization.

14357381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1530 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

It can be divided in two parts, 14357 and 381248, that added together give a triangular number (395605 = T₈₈₉).

The spelling of 14357381248 in words is "fourteen billion, three hundred fifty-seven million, three hundred eighty-one thousand, two hundred forty-eight".