221695259904 has 144 divisors (see below), whose sum is σ = 658317130240. Its totient is φ = 73591234560.

The previous prime is 221695259867. The next prime is 221695259921. The reversal of 221695259904 is 409952596122.

221695259904 is a `hidden beast` number, since 2 + 21 + 6 + 9 + 525 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×221695259904² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599249 + ... + 1732335.

Almost surely, 2^221695259904 is an apocalyptic number.

221695259904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221695259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329158565120).

221695259904 is an abundant number, since it is smaller than the sum of its proper divisors (436621870336).

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

221695259904 is a wasteful number, since it uses less digits than its factorization.

221695259904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133353 (or 133333 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 221695259904 in words is "two hundred twenty-one billion, six hundred ninety-five million, two hundred fifty-nine thousand, nine hundred four".