126319025664 has 600 divisors, whose sum is σ = 415896026040. Its totient is φ = 38144950272.

The previous prime is 126319025633. The next prime is 126319025669. The reversal of 126319025664 is 466520913621.

126319025664 is a `hidden beast` number, since 1 + 2 + 631 + 9 + 0 + 2 + 5 + 6 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126319025669) 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 59 ways as a sum of consecutive naturals, for example, 469587322 + ... + 469587590.

Almost surely, 2^126319025664 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 126319025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207948013020).

126319025664 is an abundant number, since it is smaller than the sum of its proper divisors (289577000376).

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

126319025664 is an equidigital number, since it uses as much as digits as its factorization.

126319025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 126319025664 in words is "one hundred twenty-six billion, three hundred nineteen million, twenty-five thousand, six hundred sixty-four".