22084611994368 has 1728 divisors, whose sum is σ = 87559732592640. Its totient is φ = 5420904652800.

The previous prime is 22084611994303. The next prime is 22084611994369. The reversal of 22084611994368 is 86349911648022.

22084611994368 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 4 + 6 + 1 + 199 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (22084611994369) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4966179921 + ... + 4966184367.

Almost surely, 2^{22084611994368} is an apocalyptic number.

22084611994368 is a gapful number since it is divisible by the number (28) 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 22084611994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43779866296320).

22084611994368 is an abundant number, since it is smaller than the sum of its proper divisors (65475120598272).

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

22084611994368 is a wasteful number, since it uses less digits than its factorization.

22084611994368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 22084611994368 in words is "twenty-two trillion, eighty-four billion, six hundred eleven million, nine hundred ninety-four thousand, three hundred sixty-eight".