221135298048 has 400 divisors, whose sum is σ = 787141048320. Its totient is φ = 60432666624.

The previous prime is 221135298029. The next prime is 221135298101. The reversal of 221135298048 is 840892531122.

221135298048 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 529 + 80 + 48 = 666.

It is a super-2 number, since 2×221135298048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221135297994 and 221135298012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6660433 + ... + 6693551.

Almost surely, 2^221135298048 is an apocalyptic number.

221135298048 is a gapful number since it is divisible by the number (28) 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 221135298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393570524160).

221135298048 is an abundant number, since it is smaller than the sum of its proper divisors (566005750272).

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

221135298048 is an equidigital number, since it uses as much as digits as its factorization.

221135298048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33179 (or 33154 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 221135298048 in words is "two hundred twenty-one billion, one hundred thirty-five million, two hundred ninety-eight thousand, forty-eight".