221460022331964 has 384 divisors, whose sum is σ = 639919604459520. Its totient is φ = 65790067525632.

The previous prime is 221460022331959. The next prime is 221460022332011. The reversal of 221460022331964 is 469133220064122.

221460022331964 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 600 + 2 + 2 + 3 + 31 + 9 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25670567419 + ... + 25670576045.

It is an arithmetic number, because the mean of its divisors is an integer number (1666457303280).

Almost surely, 2^{221460022331964} 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 221460022331964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319959802229760).

221460022331964 is an abundant number, since it is smaller than the sum of its proper divisors (418459582127556).

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

221460022331964 is a wasteful number, since it uses less digits than its factorization.

221460022331964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12434 (or 12426 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 221460022331964 in words is "two hundred twenty-one trillion, four hundred sixty billion, twenty-two million, three hundred thirty-one thousand, nine hundred sixty-four".