220416964992 has 384 divisors, whose sum is σ = 789662131200. Its totient is φ = 60237112320.

The previous prime is 220416964981. The next prime is 220416965039. The reversal of 220416964992 is 299469614022.

220416964992 is a `hidden beast` number, since 2 + 20 + 41 + 6 + 96 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3866617 + ... + 3923207.

It is an arithmetic number, because the mean of its divisors is an integer number (2056411800).

Almost surely, 2^220416964992 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 220416964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394831065600).

220416964992 is an abundant number, since it is smaller than the sum of its proper divisors (569245166208).

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

220416964992 is a wasteful number, since it uses less digits than its factorization.

220416964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56651 (or 56626 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 220416964992 in words is "two hundred twenty billion, four hundred sixteen million, nine hundred sixty-four thousand, nine hundred ninety-two".