22145251447134 has 320 divisors, whose sum is σ = 53704169164800. Its totient is φ = 6805927763712.

The previous prime is 22145251447087. The next prime is 22145251447223. The reversal of 22145251447134 is 43174415254122.

22145251447134 is a `hidden beast` number, since 2 + 2 + 14 + 52 + 514 + 4 + 71 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22145251447134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3295911427 + ... + 3295918145.

It is an arithmetic number, because the mean of its divisors is an integer number (167825528640).

Almost surely, 2^{22145251447134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22145251447134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26852084582400).

22145251447134 is an abundant number, since it is smaller than the sum of its proper divisors (31558917717666).

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

22145251447134 is a wasteful number, since it uses less digits than its factorization.

22145251447134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149 (or 7140 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 22145251447134 in words is "twenty-two trillion, one hundred forty-five billion, two hundred fifty-one million, four hundred forty-seven thousand, one hundred thirty-four".