220686416165376 has 640 divisors, whose sum is σ = 771395252305920. Its totient is φ = 60960356352000.

The previous prime is 220686416165317. The next prime is 220686416165417. The reversal of 220686416165376 is 673561614686022.

220686416165376 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 8 + 6 + 4 + 1 + 616 + 5 + 3 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

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, 3152763210 + ... + 3152833206.

It is an arithmetic number, because the mean of its divisors is an integer number (1205305081728).

Almost surely, 2^{220686416165376} 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 220686416165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385697626152960).

220686416165376 is an abundant number, since it is smaller than the sum of its proper divisors (550708836140544).

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

220686416165376 is a wasteful number, since it uses less digits than its factorization.

220686416165376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71113 (or 71091 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 220686416165376 in words is "two hundred twenty trillion, six hundred eighty-six billion, four hundred sixteen million, one hundred sixty-five thousand, three hundred seventy-six".