221361068934720 has 672 divisors, whose sum is σ = 895994276486400. Its totient is φ = 49452592250880.

The previous prime is 221361068934701. The next prime is 221361068934727. The reversal of 221361068934720 is 27439860163122.

221361068934720 is a `hidden beast` number, since 2 + 2 + 13 + 6 + 10 + 68 + 93 + 472 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (221361068934727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246243502 + ... + 247140818.

It is an arithmetic number, because the mean of its divisors is an integer number (1333324816200).

Almost surely, 2^{221361068934720} is an apocalyptic number.

221361068934720 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 221361068934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447997138243200).

221361068934720 is an abundant number, since it is smaller than the sum of its proper divisors (674633207551680).

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

221361068934720 is a wasteful number, since it uses less digits than its factorization.

221361068934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897963 (or 897950 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 221361068934720 in words is "two hundred twenty-one trillion, three hundred sixty-one billion, sixty-eight million, nine hundred thirty-four thousand, seven hundred twenty".