1866633048000 has 1008 divisors, whose sum is σ = 8224593440544. Its totient is φ = 401548492800.

The previous prime is 1866633047971. The next prime is 1866633048013. The reversal of 1866633048000 is 8403366681.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59960439 + ... + 59991561.

Almost surely, 2^{1866633048000} is an apocalyptic number.

1866633048000 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 1866633048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112296720272).

1866633048000 is an abundant number, since it is smaller than the sum of its proper divisors (6357960392544).

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

1866633048000 is a wasteful number, since it uses less digits than its factorization.

1866633048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31187 (or 31157 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1866633048000 in words is "one trillion, eight hundred sixty-six billion, six hundred thirty-three million, forty-eight thousand".