20649332417142 has 192 divisors, whose sum is σ = 49129840714752. Its totient is φ = 5735386800000.

The previous prime is 20649332417117. The next prime is 20649332417149. The reversal of 20649332417142 is 24171423394602.

It is a junction number, because it is equal to n+sod(n) for n = 20649332417091 and 20649332417100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20649332417149) 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, 926674333 + ... + 926696615.

It is an arithmetic number, because the mean of its divisors is an integer number (255884587056).

Almost surely, 2^{20649332417142} is an apocalyptic number.

20649332417142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20649332417142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24564920357376).

20649332417142 is an abundant number, since it is smaller than the sum of its proper divisors (28480508297610).

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

20649332417142 is a wasteful number, since it uses less digits than its factorization.

20649332417142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22907 (or 22894 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 20649332417142 in words is "twenty trillion, six hundred forty-nine billion, three hundred thirty-two million, four hundred seventeen thousand, one hundred forty-two".