220424874038496 has 576 divisors, whose sum is σ = 690657727818240. Its totient is φ = 68915176980480.

The previous prime is 220424874038491. The next prime is 220424874038591. The reversal of 220424874038496 is 694830478424022.

It is a happy number.

220424874038496 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 2 + 48 + 74 + 0 + 38 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220424874038491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62284506295 + ... + 62284509833.

It is an arithmetic number, because the mean of its divisors is an integer number (1199058555240).

Almost surely, 2^{220424874038496} 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 220424874038496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345328863909120).

220424874038496 is an abundant number, since it is smaller than the sum of its proper divisors (470232853779744).

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

220424874038496 is a wasteful number, since it uses less digits than its factorization.

220424874038496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 220424874038496 in words is "two hundred twenty trillion, four hundred twenty-four billion, eight hundred seventy-four million, thirty-eight thousand, four hundred ninety-six".