221829696144 has 525 divisors, whose sum is σ = 760294233113. Its totient is φ = 62667779328.

The previous prime is 221829696139. The next prime is 221829696229. The reversal of 221829696144 is 441696928122.

The square root of 221829696144 is 470988.

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

221829696144 is a `hidden beast` number, since 2 + 2 + 18 + 2 + 9 + 6 + 9 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42596006544 + 179233689600 = 206388^2 + 423360^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2492468452 + ... + 2492468540.

Almost surely, 2^221829696144 is an apocalyptic number.

221829696144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

221829696144 is the 470988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221829696144

221829696144 is an abundant number, since it is smaller than the sum of its proper divisors (538464536969).

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

221829696144 is an frugal number, since it uses more digits than its factorization.

221829696144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 101 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 221829696144 in words is "two hundred twenty-one billion, eight hundred twenty-nine million, six hundred ninety-six thousand, one hundred forty-four".