126858290673984 has 224 divisors, whose sum is σ = 354121146163200. Its totient is φ = 39968746997760.

The previous prime is 126858290673887. The next prime is 126858290674061. The reversal of 126858290673984 is 489376092858621.

It is a super-3 number, since 3×126858290673984³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13624556689 + ... + 13624565999.

It is a 1-persistent number, because it is pandigital, but 2⋅126858290673984 = 253716581347968 is not.

Almost surely, 2^{126858290673984} 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 126858290673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177060573081600).

126858290673984 is an abundant number, since it is smaller than the sum of its proper divisors (227262855489216).

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

126858290673984 is a wasteful number, since it uses less digits than its factorization.

126858290673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17501 (or 17491 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 78.

The spelling of 126858290673984 in words is "one hundred twenty-six trillion, eight hundred fifty-eight billion, two hundred ninety million, six hundred seventy-three thousand, nine hundred eighty-four".