1866466836432 has 480 divisors, whose sum is σ = 5839632489600. Its totient is φ = 551809843200.

The previous prime is 1866466836431. The next prime is 1866466836463. The reversal of 1866466836432 is 2346386646681.

1866466836432 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 466 + 83 + 64 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1866466836432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1866466836431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4924714419 + ... + 4924714797.

It is an arithmetic number, because the mean of its divisors is an integer number (12165901020).

Almost surely, 2^{1866466836432} is an apocalyptic number.

1866466836432 is a gapful number since it is divisible by the number (12) 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 1866466836432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919816244800).

1866466836432 is an abundant number, since it is smaller than the sum of its proper divisors (3973165653168).

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

1866466836432 is a wasteful number, since it uses less digits than its factorization.

1866466836432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 63.

The spelling of 1866466836432 in words is "one trillion, eight hundred sixty-six billion, four hundred sixty-six million, eight hundred thirty-six thousand, four hundred thirty-two".