14274848640 has 768 divisors, whose sum is σ = 53623684800. Its totient is φ = 3220439040.

The previous prime is 14274848629. The next prime is 14274848647. The reversal of 14274848640 is 4684847241.

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 14274848640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14274848647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348167020 + ... + 348167060.

Almost surely, 2^14274848640 is an apocalyptic number.

14274848640 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 14274848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26811842400).

14274848640 is an abundant number, since it is smaller than the sum of its proper divisors (39348836160).

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

14274848640 is a wasteful number, since it uses less digits than its factorization.

14274848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 14274848640 in words is "fourteen billion, two hundred seventy-four million, eight hundred forty-eight thousand, six hundred forty".