126862071336 has 1296 divisors, whose sum is σ = 510236120160. Its totient is φ = 28090782720.

The previous prime is 126862071319. The next prime is 126862071361. The reversal of 126862071336 is 633170268621.

126862071336 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 620 + 7 + 13 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126862071291 and 126862071300.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 4374554170 + ... + 4374554198.

It is an arithmetic number, because the mean of its divisors is an integer number (393700710).

Almost surely, 2^126862071336 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 126862071336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255118060080).

126862071336 is an abundant number, since it is smaller than the sum of its proper divisors (383374048824).

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

126862071336 is a wasteful number, since it uses less digits than its factorization.

126862071336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 126862071336 in words is "one hundred twenty-six billion, eight hundred sixty-two million, seventy-one thousand, three hundred thirty-six".