126262114344 has 96 divisors (see below), whose sum is σ = 346278933000. Its totient is φ = 41558054400.

The previous prime is 126262114343. The next prime is 126262114351. The reversal of 126262114344 is 443411262621.

126262114344 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 6 + 211 + 434 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119626056900 + 6636057444 = 345870^2 + 81462^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126262114299 and 126262114308.

It is not an unprimeable number, because it can be changed into a prime (126262114343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689182 + ... + 2735730.

Almost surely, 2^126262114344 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 126262114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173139466500).

126262114344 is an abundant number, since it is smaller than the sum of its proper divisors (220016818656).

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

126262114344 is a wasteful number, since it uses less digits than its factorization.

126262114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47035 (or 47028 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 126262114344 its reverse (443411262621), we get a palindrome (569673376965).

The spelling of 126262114344 in words is "one hundred twenty-six billion, two hundred sixty-two million, one hundred fourteen thousand, three hundred forty-four".