126651419296 has 48 divisors (see below), whose sum is σ = 264304446336. Its totient is φ = 59534724096.

The previous prime is 126651419273. The next prime is 126651419299. The reversal of 126651419296 is 692914156621.

It is a super-2 number, since 2×126651419296² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126651419299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365065 + ... + 621751.

It is an arithmetic number, because the mean of its divisors is an integer number (5506342632).

Almost surely, 2^126651419296 is an apocalyptic number.

126651419296 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 126651419296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132152223168).

126651419296 is an abundant number, since it is smaller than the sum of its proper divisors (137653027040).

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

126651419296 is a wasteful number, since it uses less digits than its factorization.

126651419296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257621 (or 257613 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The spelling of 126651419296 in words is "one hundred twenty-six billion, six hundred fifty-one million, four hundred nineteen thousand, two hundred ninety-six".