1023122526408 has 256 divisors, whose sum is σ = 3025156377600. Its totient is φ = 319281315840.

The previous prime is 1023122526403. The next prime is 1023122526427. The reversal of 1023122526408 is 8046252213201.

1023122526408 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 2 + 2 + 5 + 2 + 640 + 8 = 666.

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 (1023122526403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685278910 + ... + 685280402.

It is an arithmetic number, because the mean of its divisors is an integer number (11817017100).

Almost surely, 2^{1023122526408} is an apocalyptic number.

1023122526408 is a gapful number since it is divisible by the number (18) 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 1023122526408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512578188800).

1023122526408 is an abundant number, since it is smaller than the sum of its proper divisors (2002033851192).

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

1023122526408 is a wasteful number, since it uses less digits than its factorization.

1023122526408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1023122526408 its reverse (8046252213201), we get a palindrome (9069374739609).

The spelling of 1023122526408 in words is "one trillion, twenty-three billion, one hundred twenty-two million, five hundred twenty-six thousand, four hundred eight".