8149714560 has 768 divisors, whose sum is σ = 32746896000. Its totient is φ = 1922973696.

The previous prime is 8149714553. The next prime is 8149714571. The reversal of 8149714560 is 654179418.

8149714560 is a `hidden beast` number, since 8 + 14 + 9 + 71 + 4 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58630971 + ... + 58631109.

Almost surely, 2^8149714560 is an apocalyptic number.

8149714560 is a gapful number since it is divisible by the number (80) 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 8149714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373448000).

8149714560 is an abundant number, since it is smaller than the sum of its proper divisors (24597181440).

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

8149714560 is a wasteful number, since it uses less digits than its factorization.

8149714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8149714560 is about 90275.7695065514. The cubic root of 8149714560 is about 2012.3991845901.

The spelling of 8149714560 in words is "eight billion, one hundred forty-nine million, seven hundred fourteen thousand, five hundred sixty".