220670012054016 has 320 divisors, whose sum is σ = 746606265926400. Its totient is φ = 63040667516928.

The previous prime is 220670012053999. The next prime is 220670012054033. The reversal of 220670012054016 is 610450210076022.

It is a happy number.

220670012054016 is a `hidden beast` number, since 2 + 20 + 6 + 70 + 0 + 1 + 20 + 540 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (220670012053999) and next prime (220670012054033).

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 31 ways as a sum of consecutive naturals, for example, 794229616 + ... + 794507408.

It is an arithmetic number, because the mean of its divisors is an integer number (2333144581020).

Almost surely, 2^{220670012054016} 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 220670012054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373303132963200).

220670012054016 is an abundant number, since it is smaller than the sum of its proper divisors (525936253872384).

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

220670012054016 is an equidigital number, since it uses as much as digits as its factorization.

220670012054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286036 (or 286014 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 220670012054016 in words is "two hundred twenty trillion, six hundred seventy billion, twelve million, fifty-four thousand, sixteen".