126246309696 has 420 divisors, whose sum is σ = 419293205100. Its totient is φ = 37497987072.

The previous prime is 126246309617. The next prime is 126246309697. The reversal of 126246309696 is 696903642621.

126246309696 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 463 + 0 + 96 + 96 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33182265600 + 93064044096 = 182160^2 + 305064^2 .

It is a super-2 number, since 2×126246309696² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126246309697) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25404300 + ... + 25409268.

It is an arithmetic number, because the mean of its divisors is an integer number (998317155).

Almost surely, 2^126246309696 is an apocalyptic number.

126246309696 is a gapful number since it is divisible by the number (16) 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 126246309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209646602550).

126246309696 is an abundant number, since it is smaller than the sum of its proper divisors (293046895404).

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

126246309696 is a wasteful number, since it uses less digits than its factorization.

126246309696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 126246309696 in words is "one hundred twenty-six billion, two hundred forty-six million, three hundred nine thousand, six hundred ninety-six".