221232315047040 has 768 divisors, whose sum is σ = 870641216040960. Its totient is φ = 51276646195200.

The previous prime is 221232315046943. The next prime is 221232315047069. The reversal of 221232315047040 is 40740513232122.

221232315047040 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 32 + 3 + 150 + 470 + 4 + 0 = 666.

It is a super-2 number, since 2×221232315047040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221232315046986 and 221232315047004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162346759 + ... + 163703801.

It is an arithmetic number, because the mean of its divisors is an integer number (1133647416720).

Almost surely, 2^{221232315047040} is an apocalyptic number.

221232315047040 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 221232315047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435320608020480).

221232315047040 is an abundant number, since it is smaller than the sum of its proper divisors (649408900993920).

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

221232315047040 is a wasteful number, since it uses less digits than its factorization.

221232315047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357193 (or 1357178 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 221232315047040 its reverse (40740513232122), we get a palindrome (261972828279162).

The spelling of 221232315047040 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, three hundred fifteen million, forty-seven thousand, forty".