221411640713700 has 144 divisors (see below), whose sum is σ = 644542997232960. Its totient is φ = 58681678656000.

The previous prime is 221411640713677. The next prime is 221411640713737. The reversal of 221411640713700 is 7317046114122.

221411640713700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221411640713700² (a number of 29 digits) contains 22 as substring.

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, 98827930 + ... + 101043470.

It is an arithmetic number, because the mean of its divisors is an integer number (4475993036340).

Almost surely, 2^{221411640713700} is an apocalyptic number.

221411640713700 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 221411640713700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322271498616480).

221411640713700 is an abundant number, since it is smaller than the sum of its proper divisors (423131356519260).

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

221411640713700 is a wasteful number, since it uses less digits than its factorization.

221411640713700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217598 (or 2217591 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

Adding to 221411640713700 its reverse (7317046114122), we get a palindrome (228728686827822).

The spelling of 221411640713700 in words is "two hundred twenty-one trillion, four hundred eleven billion, six hundred forty million, seven hundred thirteen thousand, seven hundred".