126930633984 has 1008 divisors, whose sum is σ = 484065181824. Its totient is φ = 32517365760.

The previous prime is 126930633979. The next prime is 126930634013. The reversal of 126930633984 is 489336039621.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×126930633984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 126930633984.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1738775772 + ... + 1738775844.

Almost surely, 2^126930633984 is an apocalyptic number.

126930633984 is a gapful number since it is divisible by the number (14) 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 126930633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242032590912).

126930633984 is an abundant number, since it is smaller than the sum of its proper divisors (357134547840).

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

126930633984 is an frugal number, since it uses more digits than its factorization.

126930633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 126930633984 in words is "one hundred twenty-six billion, nine hundred thirty million, six hundred thirty-three thousand, nine hundred eighty-four".