221650146432 has 648 divisors, whose sum is σ = 767060743995. Its totient is φ = 61360865280.

The previous prime is 221650146427. The next prime is 221650146451. The reversal of 221650146432 is 234641056122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221650146432 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 5 + 0 + 1 + 4 + 643 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 25174264896 + 196475881536 = 158664^2 + 443256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2285053008 + ... + 2285053104.

Almost surely, 2^221650146432 is an apocalyptic number.

221650146432 is a gapful number since it is divisible by the number (22) 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 221650146432

221650146432 is an abundant number, since it is smaller than the sum of its proper divisors (545410597563).

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

221650146432 is a wasteful number, since it uses less digits than its factorization.

221650146432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 221650146432 in words is "two hundred twenty-one billion, six hundred fifty million, one hundred forty-six thousand, four hundred thirty-two".