221287449744 has 225 divisors, whose sum is σ = 653011826313. Its totient is φ = 72345602304.

The previous prime is 221287449737. The next prime is 221287449751. The reversal of 221287449744 is 447944782122.

It is a happy number.

The square root of 221287449744 is 470412.

It is a perfect power (a square), and thus also a powerful number.

221287449744 is a `hidden beast` number, since 2 + 2 + 128 + 7 + 449 + 74 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (221287449737) and next prime (221287449751).

It can be written as a sum of positive squares in only one way, i.e., 125613536400 + 95673913344 = 354420^2 + 309312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1236242647 + ... + 1236242825.

Almost surely, 2^221287449744 is an apocalyptic number.

221287449744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

221287449744 is the 470412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221287449744

221287449744 is an abundant number, since it is smaller than the sum of its proper divisors (431724376569).

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

221287449744 is an frugal number, since it uses more digits than its factorization.

221287449744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 257 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 221287449744 in words is "two hundred twenty-one billion, two hundred eighty-seven million, four hundred forty-nine thousand, seven hundred forty-four".