22274853693120 has 1008 divisors, whose sum is σ = 97412073977088. Its totient is φ = 4637308354560.

The previous prime is 22274853692963. The next prime is 22274853693181. The reversal of 22274853693120 is 2139635847222.

22274853693120 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 4 + 8 + 536 + 93 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74220484 + ... + 74519996.

It is a 1-persistent number, because it is pandigital, but 2⋅22274853693120 = 44549707386240 is not.

Almost surely, 2^{22274853693120} is an apocalyptic number.

22274853693120 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 22274853693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48706036988544).

22274853693120 is an abundant number, since it is smaller than the sum of its proper divisors (75137220283968).

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

22274853693120 is a wasteful number, since it uses less digits than its factorization.

22274853693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299598 (or 299578 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 22274853693120 in words is "twenty-two trillion, two hundred seventy-four billion, eight hundred fifty-three million, six hundred ninety-three thousand, one hundred twenty".