1864623004992 has 448 divisors, whose sum is σ = 6411977625600. Its totient is φ = 525060956160.

The previous prime is 1864623004939. The next prime is 1864623004999. The reversal of 1864623004992 is 2994003264681.

1864623004992 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 623 + 0 + 0 + 4 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864623004999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25491223 + ... + 25564265.

Almost surely, 2^{1864623004992} is an apocalyptic number.

1864623004992 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 1864623004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205988812800).

1864623004992 is an abundant number, since it is smaller than the sum of its proper divisors (4547354620608).

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

1864623004992 is a wasteful number, since it uses less digits than its factorization.

1864623004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73171 (or 73155 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1864623004992 in words is "one trillion, eight hundred sixty-four billion, six hundred twenty-three million, four thousand, nine hundred ninety-two".