1861115256 has 768 divisors, whose sum is σ = 7547904000. Its totient is φ = 406425600.

The previous prime is 1861115177. The next prime is 1861115279. The reversal of 1861115256 is 6525111681.

1861115256 is a `hidden beast` number, since 1 + 8 + 611 + 15 + 25 + 6 = 666.

It is a super-2 number, since 2×1861115256² = 6927499992231891072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1861115256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60035961 + ... + 60035991.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^1861115256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1861115256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

1861115256 is an abundant number, since it is smaller than the sum of its proper divisors (5686788744).

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

1861115256 is a wasteful number, since it uses less digits than its factorization.

1861115256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 1861115256 is about 43140.6450577643. The cubic root of 1861115256 is about 1230.0546951684.

The spelling of 1861115256 in words is "one billion, eight hundred sixty-one million, one hundred fifteen thousand, two hundred fifty-six".