220493949984 has 1536 divisors, whose sum is σ = 925256908800. Its totient is φ = 49268736000.

The previous prime is 220493949931. The next prime is 220493950009. The reversal of 220493949984 is 489949394022.

220493949984 is a `hidden beast` number, since 2 + 20 + 49 + 3 + 9 + 499 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 666144699 + ... + 666145029.

It is an arithmetic number, because the mean of its divisors is an integer number (602380800).

Almost surely, 2^220493949984 is an apocalyptic number.

220493949984 is a gapful number since it is divisible by the number (24) 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 220493949984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462628454400).

220493949984 is an abundant number, since it is smaller than the sum of its proper divisors (704762958816).

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

220493949984 is a wasteful number, since it uses less digits than its factorization.

220493949984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 220493949984 in words is "two hundred twenty billion, four hundred ninety-three million, nine hundred forty-nine thousand, nine hundred eighty-four".