221772542624464 has 160 divisors (see below), whose sum is σ = 516415075132320. Its totient is φ = 91258690338816.

The previous prime is 221772542624429. The next prime is 221772542624471. The reversal of 221772542624464 is 464426245277122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 28771208654400 + 193001333970064 = 5363880^2 + 13892492^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 221772542624399 and 221772542624408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14968057 + ... + 25837720.

It is an arithmetic number, because the mean of its divisors is an integer number (3227594219577).

Almost surely, 2^{221772542624464} is an apocalyptic number.

It is an amenable number.

221772542624464 is an abundant number, since it is smaller than the sum of its proper divisors (294642532507856).

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

221772542624464 is a wasteful number, since it uses less digits than its factorization.

221772542624464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40805897 (or 40805891 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 58.

The spelling of 221772542624464 in words is "two hundred twenty-one trillion, seven hundred seventy-two billion, five hundred forty-two million, six hundred twenty-four thousand, four hundred sixty-four".