20214165664 has 192 divisors, whose sum is σ = 54501672960. Its totient is φ = 7136363520.

The previous prime is 20214165583. The next prime is 20214165731. The reversal of 20214165664 is 46656141202.

It is a super-2 number, since 2×20214165664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067382 + ... + 1086154.

It is an arithmetic number, because the mean of its divisors is an integer number (283862880).

Almost surely, 2^20214165664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20214165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27250836480).

20214165664 is an abundant number, since it is smaller than the sum of its proper divisors (34287507296).

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

20214165664 is a wasteful number, since it uses less digits than its factorization.

20214165664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18843 (or 18835 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 20214165664 in words is "twenty billion, two hundred fourteen million, one hundred sixty-five thousand, six hundred sixty-four".