224505661016 has 144 divisors (see below), whose sum is σ = 544575806640. Its totient is φ = 86414065920.

The previous prime is 224505660997. The next prime is 224505661043. The reversal of 224505661016 is 610166505422.

It is a super-2 number, since 2×224505661016² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2405381 + ... + 2496971.

It is an arithmetic number, because the mean of its divisors is an integer number (3781776435).

Almost surely, 2^224505661016 is an apocalyptic number.

224505661016 is a gapful number since it is divisible by the number (26) 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 224505661016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272287903320).

224505661016 is an abundant number, since it is smaller than the sum of its proper divisors (320070145624).

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

224505661016 is a wasteful number, since it uses less digits than its factorization.

224505661016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91674 (or 91650 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 224505661016 in words is "two hundred twenty-four billion, five hundred five million, six hundred sixty-one thousand, sixteen".