22454272253952 has 336 divisors, whose sum is σ = 80869346243712. Its totient is φ = 5832277032960.

The previous prime is 22454272253951. The next prime is 22454272253953. The reversal of 22454272253952 is 25935227245422.

22454272253952 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 4 + 27 + 225 + 395 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22454272253951) and next prime (22454272253953).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22454272253951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3699423 + ... + 7654689.

Almost surely, 2^{22454272253952} is an apocalyptic number.

22454272253952 is a gapful number since it is divisible by the number (22) 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 22454272253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40434673121856).

22454272253952 is an abundant number, since it is smaller than the sum of its proper divisors (58415073989760).

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

22454272253952 is a wasteful number, since it uses less digits than its factorization.

22454272253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955317 (or 3955290 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 22454272253952 in words is "twenty-two trillion, four hundred fifty-four billion, two hundred seventy-two million, two hundred fifty-three thousand, nine hundred fifty-two".