22074630144 has 336 divisors, whose sum is σ = 71538925248. Its totient is φ = 6025248768.

The previous prime is 22074630077. The next prime is 22074630211. The reversal of 22074630144 is 44103647022.

It is an interprime number because it is at equal distance from previous prime (22074630077) and next prime (22074630211).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27696754 + ... + 27697550.

It is an arithmetic number, because the mean of its divisors is an integer number (212913468).

Almost surely, 2^22074630144 is an apocalyptic number.

22074630144 is a gapful number since it is divisible by the number (24) 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 22074630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35769462624).

22074630144 is an abundant number, since it is smaller than the sum of its proper divisors (49464295104).

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

22074630144 is an equidigital number, since it uses as much as digits as its factorization.

22074630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 22074630144 in words is "twenty-two billion, seventy-four million, six hundred thirty thousand, one hundred forty-four".