20601700614144 has 1216 divisors, whose sum is σ = 69449488711680. Its totient is φ = 5992989327360.

The previous prime is 20601700614139. The next prime is 20601700614161. The reversal of 20601700614144 is 44141600710602.

It is a happy number.

20601700614144 is a `hidden beast` number, since 2 + 0 + 601 + 7 + 0 + 0 + 6 + 1 + 4 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20601700614099 and 20601700614108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162218115009 + ... + 162218115135.

Almost surely, 2^{20601700614144} is an apocalyptic number.

20601700614144 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 20601700614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34724744355840).

20601700614144 is an abundant number, since it is smaller than the sum of its proper divisors (48847788097536).

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

20601700614144 is an equidigital number, since it uses as much as digits as its factorization.

20601700614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20601700614144 in words is "twenty trillion, six hundred one billion, seven hundred million, six hundred fourteen thousand, one hundred forty-four".