221457403321755 has 32 divisors (see below), whose sum is σ = 354550018268160. Its totient is φ = 118037911008000.

The previous prime is 221457403321751. The next prime is 221457403321757. The reversal of 221457403321755 is 557123304754122.

It is not a de Polignac number, because 221457403321755 - 2² = 221457403321751 is a prime.

It is a super-3 number, since 3×221457403321755³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221457403321698 and 221457403321707.

It is not an unprimeable number, because it can be changed into a prime (221457403321751) 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, 175610056 + ... + 176866634.

It is an arithmetic number, because the mean of its divisors is an integer number (11079688070880).

Almost surely, 2^{221457403321755} is an apocalyptic number.

221457403321755 is a deficient number, since it is larger than the sum of its proper divisors (133092614946405).

221457403321755 is a wasteful number, since it uses less digits than its factorization.

221457403321755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263811.

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 221457403321755 in words is "two hundred twenty-one trillion, four hundred fifty-seven billion, four hundred three million, three hundred twenty-one thousand, seven hundred fifty-five".