20347191661104 has 640 divisors, whose sum is σ = 75092693760000. Its totient is φ = 5121427046400.

The previous prime is 20347191661103. The next prime is 20347191661129. The reversal of 20347191661104 is 40116619174302.

20347191661104 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 7 + 19 + 16 + 611 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20347191661104.

It is not an unprimeable number, because it can be changed into a prime (20347191661103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203159712 + ... + 203259840.

It is an arithmetic number, because the mean of its divisors is an integer number (117332334000).

Almost surely, 2^{20347191661104} is an apocalyptic number.

20347191661104 is a gapful number since it is divisible by the number (24) 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 20347191661104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37546346880000).

20347191661104 is an abundant number, since it is smaller than the sum of its proper divisors (54745502098896).

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

20347191661104 is a wasteful number, since it uses less digits than its factorization.

20347191661104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100354 (or 100342 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20347191661104 in words is "twenty trillion, three hundred forty-seven billion, one hundred ninety-one million, six hundred sixty-one thousand, one hundred four".