221053986751104 has 192 divisors, whose sum is σ = 685050191771400. Its totient is φ = 68015310888960.

The previous prime is 221053986751051. The next prime is 221053986751109. The reversal of 221053986751104 is 401157689350122.

221053986751104 is a `hidden beast` number, since 2 + 2 + 10 + 5 + 39 + 86 + 7 + 511 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142509158798400 + 78544827952704 = 11937720^2 + 8862552^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (221053986751109) 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, 1038344382 + ... + 1038557250.

It is a 1-persistent number, because it is pandigital, but 2⋅221053986751104 = 442107973502208 is not.

Almost surely, 2^{221053986751104} is an apocalyptic number.

221053986751104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221053986751104 is an abundant number, since it is smaller than the sum of its proper divisors (463996205020296).

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

221053986751104 is a wasteful number, since it uses less digits than its factorization.

221053986751104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282243 (or 282228 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 221053986751104 in words is "two hundred twenty-one trillion, fifty-three billion, nine hundred eighty-six million, seven hundred fifty-one thousand, one hundred four".