220251634416 has 120 divisors (see below), whose sum is σ = 681906176640. Its totient is φ = 65802844800.

The previous prime is 220251634411. The next prime is 220251634429. The reversal of 220251634416 is 614436152022.

220251634416 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 5 + 1 + 634 + 4 + 16 = 666.

It is a super-2 number, since 2×220251634416² (a number of 23 digits) contains 22 as substring.

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 (220251634411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866746 + ... + 1091673.

It is an arithmetic number, because the mean of its divisors is an integer number (5682551472).

Almost surely, 2^220251634416 is an apocalyptic number.

It is an amenable number.

220251634416 is an abundant number, since it is smaller than the sum of its proper divisors (461654542224).

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

220251634416 is a wasteful number, since it uses less digits than its factorization.

220251634416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958515 (or 1958506 counting only the distinct ones).

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

Adding to 220251634416 its reverse (614436152022), we get a palindrome (834687786438).

The spelling of 220251634416 in words is "two hundred twenty billion, two hundred fifty-one million, six hundred thirty-four thousand, four hundred sixteen".