1866348893952 has 216 divisors, whose sum is σ = 5699819951280. Its totient is φ = 585301524480.

The previous prime is 1866348893809. The next prime is 1866348893989. The reversal of 1866348893952 is 2593988436681.

It is a happy number.

1866348893952 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 3 + 488 + 93 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127641202 + ... + 127655822.

It is an arithmetic number, because the mean of its divisors is an integer number (26388055330).

Almost surely, 2^{1866348893952} is an apocalyptic number.

1866348893952 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 1866348893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849909975640).

1866348893952 is an abundant number, since it is smaller than the sum of its proper divisors (3833471057328).

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

1866348893952 is a wasteful number, since it uses less digits than its factorization.

1866348893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17919 (or 17902 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 1866348893952 in words is "one trillion, eight hundred sixty-six billion, three hundred forty-eight million, eight hundred ninety-three thousand, nine hundred fifty-two".