22201414341408 has 72 divisors (see below), whose sum is σ = 63895938030288. Its totient is φ = 7311309132672.

The previous prime is 22201414341377. The next prime is 22201414341409. The reversal of 22201414341408 is 80414341410222.

22201414341408 is a `hidden beast` number, since 2 + 2 + 201 + 4 + 1 + 4 + 3 + 41 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22201414341409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464363110 + ... + 464410917.

It is an arithmetic number, because the mean of its divisors is an integer number (887443583754).

Almost surely, 2^{22201414341408} is an apocalyptic number.

It is an amenable number.

22201414341408 is an abundant number, since it is smaller than the sum of its proper divisors (41694523688880).

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

22201414341408 is a wasteful number, since it uses less digits than its factorization.

22201414341408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928774126 (or 928774115 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 22201414341408 in words is "twenty-two trillion, two hundred one billion, four hundred fourteen million, three hundred forty-one thousand, four hundred eight".