126284466000 has 960 divisors, whose sum is σ = 547299327744. Its totient is φ = 24686592000.

The previous prime is 126284465999. The next prime is 126284466001. The reversal of 126284466000 is 664482621.

It is an interprime number because it is at equal distance from previous prime (126284465999) and next prime (126284466001).

It is a self number, because there is not a number n which added to its sum of digits gives 126284466000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126284466001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54976852 + ... + 54979148.

Almost surely, 2^126284466000 is an apocalyptic number.

126284466000 is a gapful number since it is divisible by the number (10) 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 126284466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273649663872).

126284466000 is an abundant number, since it is smaller than the sum of its proper divisors (421014861744).

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

126284466000 is a wasteful number, since it uses less digits than its factorization.

126284466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 126284466000 in words is "one hundred twenty-six billion, two hundred eighty-four million, four hundred sixty-six thousand".