220134604656000 has 512 divisors, whose sum is σ = 769085388864000. Its totient is φ = 55545515827200.

The previous prime is 220134604655939. The next prime is 220134604656011. The reversal of 220134604656000 is 656406431022.

It is a super-3 number, since 3×220134604656000³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220134604656000.

It is a congruent number.

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, 754078066 + ... + 754369934.

It is an arithmetic number, because the mean of its divisors is an integer number (1502119900125).

Almost surely, 2^{220134604656000} is an apocalyptic number.

220134604656000 is a gapful number since it is divisible by the number (20) 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 220134604656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384542694432000).

220134604656000 is an abundant number, since it is smaller than the sum of its proper divisors (548950784208000).

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

220134604656000 is a wasteful number, since it uses less digits than its factorization.

220134604656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292747 (or 292725 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 220134604656000 in words is "two hundred twenty trillion, one hundred thirty-four billion, six hundred four million, six hundred fifty-six thousand".