22618851840 has 720 divisors, whose sum is σ = 87672221208. Its totient is φ = 5382733824.

The previous prime is 22618851839. The next prime is 22618851851. The reversal of 22618851840 is 4815881622.

22618851840 is a `hidden beast` number, since 22 + 618 + 8 + 5 + 1 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 61214976 + 22557636864 = 7824^2 + 150192^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×22618851840² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144069042 + ... + 144069198.

Almost surely, 2^22618851840 is an apocalyptic number.

22618851840 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 22618851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43836110604).

22618851840 is an abundant number, since it is smaller than the sum of its proper divisors (65053369368).

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

22618851840 is a wasteful number, since it uses less digits than its factorization.

22618851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 22618851840 in words is "twenty-two billion, six hundred eighteen million, eight hundred fifty-one thousand, eight hundred forty".