221411640707761 has 32 divisors (see below), whose sum is σ = 255659920588800. Its totient is φ = 187820235592704.

The previous prime is 221411640707737. The next prime is 221411640707783. The reversal of 221411640707761 is 167707046114122.

It is a happy number.

221411640707761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221411640707761 - 2¹⁷ = 221411640576689 is a prime.

It is a super-2 number, since 2×221411640707761² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221411640707261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10296768336 + ... + 10296789838.

It is an arithmetic number, because the mean of its divisors is an integer number (7989372518400).

Almost surely, 2^{221411640707761} is an apocalyptic number.

It is an amenable number.

221411640707761 is a deficient number, since it is larger than the sum of its proper divisors (34248279881039).

221411640707761 is a wasteful number, since it uses less digits than its factorization.

221411640707761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29965.

The product of its (nonzero) digits is 790272, while the sum is 49.

The spelling of 221411640707761 in words is "two hundred twenty-one trillion, four hundred eleven billion, six hundred forty million, seven hundred seven thousand, seven hundred sixty-one".