1006635632156 has 96 divisors (see below), whose sum is σ = 2241156072960. Its totient is φ = 384230419200.

The previous prime is 1006635632077. The next prime is 1006635632179. The reversal of 1006635632156 is 6512365366001.

It is a super-2 number, since 2×1006635632156² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5229866 + ... + 5418926.

It is an arithmetic number, because the mean of its divisors is an integer number (23345375760).

Almost surely, 2^{1006635632156} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006635632156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120578036480).

1006635632156 is an abundant number, since it is smaller than the sum of its proper divisors (1234520440804).

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

1006635632156 is a wasteful number, since it uses less digits than its factorization.

1006635632156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189435 (or 189433 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 1006635632156 in words is "one trillion, six billion, six hundred thirty-five million, six hundred thirty-two thousand, one hundred fifty-six".