1861134336000 has 720 divisors, whose sum is σ = 6893676120240. Its totient is φ = 482711961600.

The previous prime is 1861134335959. The next prime is 1861134336007. The reversal of 1861134336000 is 6334311681.

1861134336000 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 1 + 3 + 43 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12230590464 + 1848903745536 = 110592^2 + 1359744^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1861134336007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681982636 + ... + 681985364.

It is an arithmetic number, because the mean of its divisors is an integer number (9574550167).

Almost surely, 2^{1861134336000} is an apocalyptic number.

1861134336000 is a gapful number since it is divisible by the number (10) 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 1861134336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446838060120).

1861134336000 is an abundant number, since it is smaller than the sum of its proper divisors (5032541784240).

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

1861134336000 is an equidigital number, since it uses as much as digits as its factorization.

1861134336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 1861134336000 its reverse (6334311681), we get a palindrome (1867468647681).

The spelling of 1861134336000 in words is "one trillion, eight hundred sixty-one billion, one hundred thirty-four million, three hundred thirty-six thousand".