221460194386872 has 160 divisors (see below), whose sum is σ = 709012357653600. Its totient is φ = 63264934884096.

The previous prime is 221460194386843. The next prime is 221460194386913. The reversal of 221460194386872 is 278683491064122.

221460194386872 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 60 + 19 + 438 + 68 + 72 = 666.

It is a super-2 number, since 2×221460194386872² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26915254 + ... + 34166522.

It is an arithmetic number, because the mean of its divisors is an integer number (4431327235335).

Almost surely, 2^{221460194386872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221460194386872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354506178826800).

221460194386872 is an abundant number, since it is smaller than the sum of its proper divisors (487552163266728).

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

221460194386872 is a wasteful number, since it uses less digits than its factorization.

221460194386872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7258027 (or 7258014 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 221460194386872 in words is "two hundred twenty-one trillion, four hundred sixty billion, one hundred ninety-four million, three hundred eighty-six thousand, eight hundred seventy-two".