221746067040 has 96 divisors (see below), whose sum is σ = 714744366336. Its totient is φ = 57757109760.

The previous prime is 221746067029. The next prime is 221746067057. The reversal of 221746067040 is 40760647122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 221746067040.

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, 5351116 + ... + 5392395.

It is an arithmetic number, because the mean of its divisors is an integer number (7445253816).

Almost surely, 2^221746067040 is an apocalyptic number.

221746067040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221746067040 is an abundant number, since it is smaller than the sum of its proper divisors (492998299296).

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

221746067040 is a wasteful number, since it uses less digits than its factorization.

221746067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10743572 (or 10743564 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 221746067040 in words is "two hundred twenty-one billion, seven hundred forty-six million, sixty-seven thousand, forty".