20808451141632 has 1248 divisors, whose sum is σ = 77909919252480. Its totient is φ = 5372116992000.

The previous prime is 20808451141613. The next prime is 20808451141637. The reversal of 20808451141632 is 23614115480802.

20808451141632 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 8 + 4 + 5 + 1 + 1 + 4 + 1 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (20808451141637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18078584257 + ... + 18078585407.

Almost surely, 2^{20808451141632} is an apocalyptic number.

20808451141632 is a gapful number since it is divisible by the number (22) 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 20808451141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38954959626240).

20808451141632 is an abundant number, since it is smaller than the sum of its proper divisors (57101468110848).

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

20808451141632 is a wasteful number, since it uses less digits than its factorization.

20808451141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 20808451141632 in words is "twenty trillion, eight hundred eight billion, four hundred fifty-one million, one hundred forty-one thousand, six hundred thirty-two".