20061146664 has 256 divisors, whose sum is σ = 63228211200. Its totient is φ = 5847088896.

The previous prime is 20061146657. The next prime is 20061146689. The reversal of 20061146664 is 46664116002.

Together with 43167064535 it forms a betrothed pair.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 6909037 + ... + 6911939.

It is an arithmetic number, because the mean of its divisors is an integer number (246985200).

Almost surely, 2^20061146664 is an apocalyptic number.

20061146664 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 20061146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31614105600).

20061146664 is an abundant number, since it is smaller than the sum of its proper divisors (43167064536).

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

20061146664 is a wasteful number, since it uses less digits than its factorization.

20061146664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20061146664 in words is "twenty billion, sixty-one million, one hundred forty-six thousand, six hundred sixty-four".