20356141381632 has 432 divisors, whose sum is σ = 69411979826280. Its totient is φ = 5729216790528.

The previous prime is 20356141381627. The next prime is 20356141381637. The reversal of 20356141381632 is 23618314165302.

20356141381632 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 6 + 1 + 4 + 1 + 3 + 8 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (20356141381627) and next prime (20356141381637).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20356141381637) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60344058 + ... + 60680454.

Almost surely, 2^{20356141381632} 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 20356141381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34705989913140).

20356141381632 is an abundant number, since it is smaller than the sum of its proper divisors (49055838444648).

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

20356141381632 is a wasteful number, since it uses less digits than its factorization.

20356141381632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336506 (or 336476 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20356141381632 in words is "twenty trillion, three hundred fifty-six billion, one hundred forty-one million, three hundred eighty-one thousand, six hundred thirty-two".