220486033152 has 720 divisors, whose sum is σ = 868000396032. Its totient is φ = 53893693440.

The previous prime is 220486033127. The next prime is 220486033153. The reversal of 220486033152 is 251330684022.

220486033152 is a `hidden beast` number, since 2 + 2 + 0 + 48 + 603 + 3 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×220486033152² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220486033153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27139363 + ... + 27147485.

Almost surely, 2^220486033152 is an apocalyptic number.

220486033152 is a gapful number since it is divisible by the number (22) 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 220486033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434000198016).

220486033152 is an abundant number, since it is smaller than the sum of its proper divisors (647514362880).

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

220486033152 is a wasteful number, since it uses less digits than its factorization.

220486033152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8186 (or 8163 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 220486033152 in words is "two hundred twenty billion, four hundred eighty-six million, thirty-three thousand, one hundred fifty-two".