2147113474560 has 480 divisors, whose sum is σ = 7729227297792. Its totient is φ = 571245281280.

The previous prime is 2147113474469. The next prime is 2147113474607. The reversal of 2147113474560 is 654743117412.

2147113474560 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 1 + 13 + 4 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2147113474560² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286775137 + ... + 286782623.

Almost surely, 2^{2147113474560} is an apocalyptic number.

2147113474560 is a gapful number since it is divisible by the number (20) 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 2147113474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864613648896).

2147113474560 is an abundant number, since it is smaller than the sum of its proper divisors (5582113823232).

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

2147113474560 is an frugal number, since it uses more digits than its factorization.

2147113474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2147113474560 in words is "two trillion, one hundred forty-seven billion, one hundred thirteen million, four hundred seventy-four thousand, five hundred sixty".