220249145194624 has 768 divisors, whose sum is σ = 591034979404800. Its totient is φ = 80738016952320.

The previous prime is 220249145194567. The next prime is 220249145194667. The reversal of 220249145194624 is 426491541942022.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108550588042 + ... + 108550590070.

It is an arithmetic number, because the mean of its divisors is an integer number (769576796100).

Almost surely, 2^{220249145194624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220249145194624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295517489702400).

220249145194624 is an abundant number, since it is smaller than the sum of its proper divisors (370785834210176).

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

220249145194624 is a wasteful number, since it uses less digits than its factorization.

220249145194624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 220249145194624 in words is "two hundred twenty trillion, two hundred forty-nine billion, one hundred forty-five million, one hundred ninety-four thousand, six hundred twenty-four".