221761413005734 has 48 divisors (see below), whose sum is σ = 393325548428736. Its totient is φ = 93475182124800.

The previous prime is 221761413005731. The next prime is 221761413005747. The reversal of 221761413005734 is 437500314167122.

221761413005734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221761413005731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74588067 + ... + 77504209.

It is an arithmetic number, because the mean of its divisors is an integer number (8194282258932).

Almost surely, 2^{221761413005734} is an apocalyptic number.

221761413005734 is a deficient number, since it is larger than the sum of its proper divisors (171564135423002).

221761413005734 is a wasteful number, since it uses less digits than its factorization.

221761413005734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928941 (or 2928934 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 221761413005734 in words is "two hundred twenty-one trillion, seven hundred sixty-one billion, four hundred thirteen million, five thousand, seven hundred thirty-four".