221182146990 has 160 divisors (see below), whose sum is σ = 679914031104. Its totient is φ = 50539723200.

The previous prime is 221182146971. The next prime is 221182147013. The reversal of 221182146990 is 99641281122.

It is a happy number.

221182146990 is a `hidden beast` number, since 2 + 2 + 1 + 182 + 1 + 469 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34283265 + ... + 34289715.

Almost surely, 2^221182146990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221182146990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339957015552).

221182146990 is an abundant number, since it is smaller than the sum of its proper divisors (458731884114).

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

221182146990 is a wasteful number, since it uses less digits than its factorization.

221182146990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524 (or 12515 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 221182146990 in words is "two hundred twenty-one billion, one hundred eighty-two million, one hundred forty-six thousand, nine hundred ninety".