14741314560 has 528 divisors, whose sum is σ = 60943873536. Its totient is φ = 3221323776.

The previous prime is 14741314547. The next prime is 14741314613. The reversal of 14741314560 is 6541314741.

14741314560 is a `hidden beast` number, since 1 + 4 + 74 + 13 + 14 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7417887 + ... + 7419873.

Almost surely, 2^14741314560 is an apocalyptic number.

14741314560 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 14741314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30471936768).

14741314560 is an abundant number, since it is smaller than the sum of its proper divisors (46202558976).

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

14741314560 is a wasteful number, since it uses less digits than its factorization.

14741314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14741314560 in words is "fourteen billion, seven hundred forty-one million, three hundred fourteen thousand, five hundred sixty".