22141366848000 has 1920 divisors, whose sum is σ = 88710449667840. Its totient is φ = 5484655411200.

The previous prime is 22141366847989. The next prime is 22141366848011. The reversal of 22141366848000 is 84866314122.

22141366848000 is a `hidden beast` number, since 2 + 21 + 413 + 66 + 84 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22141366847989) and next prime (22141366848011).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×22141366848000³ (a number of 41 digits) contains 333 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 191 ways as a sum of consecutive naturals, for example, 21943871496 + ... + 21943872504.

It is an arithmetic number, because the mean of its divisors is an integer number (46203359202).

Almost surely, 2^{22141366848000} is an apocalyptic number.

22141366848000 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 22141366848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44355224833920).

22141366848000 is an abundant number, since it is smaller than the sum of its proper divisors (66569082819840).

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

22141366848000 is an equidigital number, since it uses as much as digits as its factorization.

22141366848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22141366848000 in words is "twenty-two trillion, one hundred forty-one billion, three hundred sixty-six million, eight hundred forty-eight thousand".