1001982364632 has 192 divisors, whose sum is σ = 3026081916000. Its totient is φ = 297652948992.

The previous prime is 1001982364627. The next prime is 1001982364661. The reversal of 1001982364632 is 2364632891001.

1001982364632 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 8 + 2 + 3 + 6 + 4 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51455794 + ... + 51475262.

Almost surely, 2^{1001982364632} is an apocalyptic number.

1001982364632 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 1001982364632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513040958000).

1001982364632 is an abundant number, since it is smaller than the sum of its proper divisors (2024099551368).

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

1001982364632 is a wasteful number, since it uses less digits than its factorization.

1001982364632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21730 (or 21723 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1001982364632 in words is "one trillion, one billion, nine hundred eighty-two million, three hundred sixty-four thousand, six hundred thirty-two".