22084541342640 has 2160 divisors, whose sum is σ = 94178036219904. Its totient is φ = 4615084615680.

The previous prime is 22084541342561. The next prime is 22084541342641. The reversal of 22084541342640 is 4624314548022.

22084541342640 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 4 + 541 + 3 + 42 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22084541342641) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 99033817569 + ... + 99033817791.

Almost surely, 2^{22084541342640} is an apocalyptic number.

22084541342640 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 22084541342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47089018109952).

22084541342640 is an abundant number, since it is smaller than the sum of its proper divisors (72093494877264).

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

22084541342640 is a wasteful number, since it uses less digits than its factorization.

22084541342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 22084541342640 in words is "twenty-two trillion, eighty-four billion, five hundred forty-one million, three hundred forty-two thousand, six hundred forty".