1112287247064 has 576 divisors, whose sum is σ = 3936033129600. Its totient is φ = 281159424000.

The previous prime is 1112287247063. The next prime is 1112287247129. The reversal of 1112287247064 is 4607427822111.

1112287247064 is a `hidden beast` number, since 1 + 112 + 2 + 8 + 7 + 2 + 470 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112287247063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149276539 + ... + 149283989.

It is an arithmetic number, because the mean of its divisors is an integer number (6833390850).

Almost surely, 2^{1112287247064} is an apocalyptic number.

1112287247064 is a gapful number since it is divisible by the number (14) 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 1112287247064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968016564800).

1112287247064 is an abundant number, since it is smaller than the sum of its proper divisors (2823745882536).

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

1112287247064 is a wasteful number, since it uses less digits than its factorization.

1112287247064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1112287247064 in words is "one trillion, one hundred twelve billion, two hundred eighty-seven million, two hundred forty-seven thousand, sixty-four".