14742693360 has 240 divisors, whose sum is σ = 51927613920. Its totient is φ = 3886755840.

The previous prime is 14742693359. The next prime is 14742693391. The reversal of 14742693360 is 6339624741.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1725900 + ... + 1734420.

It is an arithmetic number, because the mean of its divisors is an integer number (216365058).

Almost surely, 2^14742693360 is an apocalyptic number.

14742693360 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 14742693360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25963806960).

14742693360 is an abundant number, since it is smaller than the sum of its proper divisors (37184920560).

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

14742693360 is an equidigital number, since it uses as much as digits as its factorization.

14742693360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 14742693360 in words is "fourteen billion, seven hundred forty-two million, six hundred ninety-three thousand, three hundred sixty".