126151716384 has 192 divisors, whose sum is σ = 376601702400. Its totient is φ = 41064931584.

The previous prime is 126151716373. The next prime is 126151716461. The reversal of 126151716384 is 483617151621.

126151716384 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 5 + 1 + 7 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×126151716384³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19772907 + ... + 19779285.

It is an arithmetic number, because the mean of its divisors is an integer number (1961467200).

Almost surely, 2^126151716384 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 126151716384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188300851200).

126151716384 is an abundant number, since it is smaller than the sum of its proper divisors (250449986016).

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

126151716384 is a wasteful number, since it uses less digits than its factorization.

126151716384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932 (or 6918 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 126151716384 in words is "one hundred twenty-six billion, one hundred fifty-one million, seven hundred sixteen thousand, three hundred eighty-four".