126948988584 has 320 divisors, whose sum is σ = 402564096000. Its totient is φ = 37028534400.

The previous prime is 126948988577. The next prime is 126948988591. The reversal of 126948988584 is 485889849621.

126948988584 is a `hidden beast` number, since 1 + 2 + 69 + 489 + 8 + 8 + 5 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (126948988577) and next prime (126948988591).

It is a super-2 number, since 2×126948988584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 43971189 + ... + 43974075.

It is an arithmetic number, because the mean of its divisors is an integer number (1258012800).

Almost surely, 2^126948988584 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 126948988584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201282048000).

126948988584 is an abundant number, since it is smaller than the sum of its proper divisors (275615107416).

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

126948988584 is a wasteful number, since it uses less digits than its factorization.

126948988584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3133 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 72.

The spelling of 126948988584 in words is "one hundred twenty-six billion, nine hundred forty-eight million, nine hundred eighty-eight thousand, five hundred eighty-four".