220474200081408 has 2112 divisors, whose sum is σ = 810391793369088. Its totient is φ = 51806742773760.

The previous prime is 220474200081397. The next prime is 220474200081467. The reversal of 220474200081408 is 804180002474022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 220474200081408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117711798360 + ... + 117711800232.

Almost surely, 2^{220474200081408} is an apocalyptic number.

220474200081408 is a gapful number since it is divisible by the number (28) 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 220474200081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405195896684544).

220474200081408 is an abundant number, since it is smaller than the sum of its proper divisors (589917593287680).

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

220474200081408 is a wasteful number, since it uses less digits than its factorization.

220474200081408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The spelling of 220474200081408 in words is "two hundred twenty trillion, four hundred seventy-four billion, two hundred million, eighty-one thousand, four hundred eight".