220348419932160 has 1824 divisors, whose sum is σ = 865972974834240. Its totient is φ = 53496602689536.

The previous prime is 220348419932131. The next prime is 220348419932177. The reversal of 220348419932160 is 61239914843022.

It is a happy number.

220348419932160 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 4 + 8 + 419 + 9 + 3 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 220348419932097 and 220348419932106.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3018471505884 + ... + 3018471505956.

Almost surely, 2^{220348419932160} is an apocalyptic number.

220348419932160 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 220348419932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432986487417120).

220348419932160 is an abundant number, since it is smaller than the sum of its proper divisors (645624554902080).

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

220348419932160 is an frugal number, since it uses more digits than its factorization.

220348419932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 220348419932160 in words is "two hundred twenty trillion, three hundred forty-eight billion, four hundred nineteen million, nine hundred thirty-two thousand, one hundred sixty".