22124321691840 has 1792 divisors, whose sum is σ = 86862440448000. Its totient is φ = 5283360276480.

The previous prime is 22124321691827. The next prime is 22124321691853. The reversal of 22124321691840 is 4819612342122.

22124321691840 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 432 + 169 + 18 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22124321691827) and next prime (22124321691853).

It is a super-2 number, since 2×22124321691840² (a number of 27 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 255 ways as a sum of consecutive naturals, for example, 23815200496 + ... + 23815201424.

It is an arithmetic number, because the mean of its divisors is an integer number (48472344000).

Almost surely, 2^{22124321691840} is an apocalyptic number.

22124321691840 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 22124321691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43431220224000).

22124321691840 is an abundant number, since it is smaller than the sum of its proper divisors (64738118756160).

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

22124321691840 is a wasteful number, since it uses less digits than its factorization.

22124321691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 22124321691840 in words is "twenty-two trillion, one hundred twenty-four billion, three hundred twenty-one million, six hundred ninety-one thousand, eight hundred forty".