220506948864 has 288 divisors, whose sum is σ = 696587351040. Its totient is φ = 68562321408.

The previous prime is 220506948829. The next prime is 220506948899. The reversal of 220506948864 is 468849605022.

It is an interprime number because it is at equal distance from previous prime (220506948829) and next prime (220506948899).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 220506948864.

It is a congruent number.

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, 13269649 + ... + 13286255.

It is an arithmetic number, because the mean of its divisors is an integer number (2418706080).

Almost surely, 2^220506948864 is an apocalyptic number.

220506948864 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 220506948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348293675520).

220506948864 is an abundant number, since it is smaller than the sum of its proper divisors (476080402176).

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

220506948864 is a wasteful number, since it uses less digits than its factorization.

220506948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16762 (or 16742 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 220506948864 in words is "two hundred twenty billion, five hundred six million, nine hundred forty-eight thousand, eight hundred sixty-four".