1112564970 has 320 divisors, whose sum is σ = 3500133120. Its totient is φ = 250905600.

The previous prime is 1112564941. The next prime is 1112565001. The reversal of 1112564970 is 794652111.

1112564970 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 5 + 649 + 7 + 0 = 666.

It is a super-2 number, since 2×1112564970² = 2475601624942201800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12500686 + ... + 12500774.

It is an arithmetic number, because the mean of its divisors is an integer number (10937916).

Almost surely, 2^1112564970 is an apocalyptic number.

1112564970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112564970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750066560).

1112564970 is an abundant number, since it is smaller than the sum of its proper divisors (2387568150).

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

1112564970 is a wasteful number, since it uses less digits than its factorization.

1112564970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1112564970 is about 33355.1340875734. The cubic root of 1112564970 is about 1036.1957195210.

The spelling of 1112564970 in words is "one billion, one hundred twelve million, five hundred sixty-four thousand, nine hundred seventy".