221672602368 has 1152 divisors, whose sum is σ = 827280384000. Its totient is φ = 57151733760.

The previous prime is 221672602367. The next prime is 221672602369. The reversal of 221672602368 is 863206276122.

221672602368 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 7 + 2 + 602 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (221672602367) and next prime (221672602369).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (221672602363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3308546271 + ... + 3308546337.

Almost surely, 2^221672602368 is an apocalyptic number.

221672602368 is a gapful number since it is divisible by the number (28) 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 221672602368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413640192000).

221672602368 is an abundant number, since it is smaller than the sum of its proper divisors (605607781632).

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

221672602368 is a wasteful number, since it uses less digits than its factorization.

221672602368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 221672602368 in words is "two hundred twenty-one billion, six hundred seventy-two million, six hundred two thousand, three hundred sixty-eight".