221556577000000 has 196 divisors, whose sum is σ = 599516900147952. Its totient is φ = 80566024000000.

The previous prime is 221556576999991. The next prime is 221556577000081. The reversal of 221556577000000 is 775655122.

It is a super-4 number, since 4×221556577000000⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 929247 + ... + 21070753.

Almost surely, 2^{221556577000000} is an apocalyptic number.

221556577000000 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 221556577000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299758450073976).

221556577000000 is an abundant number, since it is smaller than the sum of its proper divisors (377960323147952).

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

221556577000000 is an frugal number, since it uses more digits than its factorization.

221556577000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20141560 (or 20141525 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 40.

The spelling of 221556577000000 in words is "two hundred twenty-one trillion, five hundred fifty-six billion, five hundred seventy-seven million", and thus it is an aban number.