221897264918400 has 1152 divisors, whose sum is σ = 836354119910400. Its totient is φ = 58081121280000.

The previous prime is 221897264918339. The next prime is 221897264918411. The reversal of 221897264918400 is 4819462798122.

221897264918400 is a `hidden beast` number, since 2 + 2 + 1 + 89 + 7 + 2 + 64 + 91 + 8 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12642989625 + ... + 12643007175.

It is an arithmetic number, because the mean of its divisors is an integer number (726001840200).

Almost surely, 2^{221897264918400} is an apocalyptic number.

221897264918400 is a gapful number since it is divisible by the number (20) 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 221897264918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418177059955200).

221897264918400 is an abundant number, since it is smaller than the sum of its proper divisors (614456854992000).

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

221897264918400 is a wasteful number, since it uses less digits than its factorization.

221897264918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17890 (or 17861 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 221897264918400 in words is "two hundred twenty-one trillion, eight hundred ninety-seven billion, two hundred sixty-four million, nine hundred eighteen thousand, four hundred".