221532145440 has 96 divisors (see below), whose sum is σ = 720336830976. Its totient is φ = 57169582080.

The previous prime is 221532145433. The next prime is 221532145463. The reversal of 221532145440 is 44541235122.

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

It is a super-3 number, since 3×221532145440³ (a number of 35 digits) contains 333 as substring.

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, 7429077 + ... + 7458836.

It is an arithmetic number, because the mean of its divisors is an integer number (7503508656).

Almost surely, 2^221532145440 is an apocalyptic number.

221532145440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221532145440 is an abundant number, since it is smaller than the sum of its proper divisors (498804685536).

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

221532145440 is a wasteful number, since it uses less digits than its factorization.

221532145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14887962 (or 14887954 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 221532145440 in words is "two hundred twenty-one billion, five hundred thirty-two million, one hundred forty-five thousand, four hundred forty".