221058772452 has 144 divisors (see below), whose sum is σ = 647972462592. Its totient is φ = 62240333760.

The previous prime is 221058772373. The next prime is 221058772477. The reversal of 221058772452 is 254277850122.

221058772452 is a `hidden beast` number, since 2 + 2 + 10 + 587 + 7 + 2 + 4 + 52 = 666.

It is a super-2 number, since 2×221058772452² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221058772398 and 221058772407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5128663 + ... + 5171585.

It is an arithmetic number, because the mean of its divisors is an integer number (4499808768).

Almost surely, 2^221058772452 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 221058772452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323986231296).

221058772452 is an abundant number, since it is smaller than the sum of its proper divisors (426913690140).

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

221058772452 is a wasteful number, since it uses less digits than its factorization.

221058772452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43238 (or 43233 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 221058772452 in words is "two hundred twenty-one billion, fifty-eight million, seven hundred seventy-two thousand, four hundred fifty-two".