126825814377468 has 144 divisors (see below), whose sum is σ = 357388894437120. Its totient is φ = 37686154701312.

The previous prime is 126825814377443. The next prime is 126825814377511. The reversal of 126825814377468 is 864773418528621.

126825814377468 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 2 + 58 + 1 + 43 + 77 + 468 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126825814377396 and 126825814377405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52338921 + ... + 54708447.

It is an arithmetic number, because the mean of its divisors is an integer number (2481867322480).

Almost surely, 2^{126825814377468} is an apocalyptic number.

126825814377468 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 126825814377468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178694447218560).

126825814377468 is an abundant number, since it is smaller than the sum of its proper divisors (230563080059652).

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

126825814377468 is a wasteful number, since it uses less digits than its factorization.

126825814377468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374176 (or 2374171 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 126825814377468 in words is "one hundred twenty-six trillion, eight hundred twenty-five billion, eight hundred fourteen million, three hundred seventy-seven thousand, four hundred sixty-eight".