220414296960 has 2304 divisors, whose sum is σ = 1007949458880. Its totient is φ = 45546209280.

The previous prime is 220414296881. The next prime is 220414296967. The reversal of 220414296960 is 69692414022.

220414296960 is a `hidden beast` number, since 220 + 414 + 2 + 9 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220414296967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4158760294 + ... + 4158760346.

Almost surely, 2^220414296960 is an apocalyptic number.

220414296960 is a gapful number since it is divisible by the number (20) 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 220414296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503974729440).

220414296960 is an abundant number, since it is smaller than the sum of its proper divisors (787535161920).

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

220414296960 is a wasteful number, since it uses less digits than its factorization.

220414296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 220414296960 in words is "two hundred twenty billion, four hundred fourteen million, two hundred ninety-six thousand, nine hundred sixty".