221236809145344 has 440 divisors, whose sum is σ = 663776347707088. Its totient is φ = 73701012602880.

The previous prime is 221236809145307. The next prime is 221236809145409. The reversal of 221236809145344 is 443541908632122.

221236809145344 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 68 + 0 + 91 + 453 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62904976674 + ... + 62904980190.

Almost surely, 2^{221236809145344} is an apocalyptic number.

221236809145344 is a gapful number since it is divisible by the number (24) 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 221236809145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331888173853544).

221236809145344 is an abundant number, since it is smaller than the sum of its proper divisors (442539538561744).

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

221236809145344 is an frugal number, since it uses more digits than its factorization.

221236809145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 221236809145344 in words is "two hundred twenty-one trillion, two hundred thirty-six billion, eight hundred nine million, one hundred forty-five thousand, three hundred forty-four".