1052323254144 has 192 divisors, whose sum is σ = 3129174996480. Its totient is φ = 339098342400.

The previous prime is 1052323254067. The next prime is 1052323254161. The reversal of 1052323254144 is 4414523232501.

It is a happy number.

1052323254144 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 3 + 232 + 5 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1052323254144³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 1052323254099 and 1052323254108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34661179 + ... + 34691525.

It is an arithmetic number, because the mean of its divisors is an integer number (16297786440).

Almost surely, 2^{1052323254144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052323254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564587498240).

1052323254144 is an abundant number, since it is smaller than the sum of its proper divisors (2076851742336).

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

1052323254144 is a wasteful number, since it uses less digits than its factorization.

1052323254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31369 (or 31354 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1052323254144 its reverse (4414523232501), we get a palindrome (5466846486645).

The spelling of 1052323254144 in words is "one trillion, fifty-two billion, three hundred twenty-three million, two hundred fifty-four thousand, one hundred forty-four".