126492716949984 has 288 divisors, whose sum is σ = 465084335229696. Its totient is φ = 32855251000320.

The previous prime is 126492716949971. The next prime is 126492716950051. The reversal of 126492716949984 is 489949617294621.

126492716949984 is a `hidden beast` number, since 1 + 2 + 6 + 49 + 2 + 7 + 1 + 6 + 9 + 499 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 105031557 + ... + 106229060.

It is an arithmetic number, because the mean of its divisors is an integer number (1614876163992).

Almost surely, 2^{126492716949984} is an apocalyptic number.

126492716949984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126492716949984 is an abundant number, since it is smaller than the sum of its proper divisors (338591618279712).

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

126492716949984 is a wasteful number, since it uses less digits than its factorization.

126492716949984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211260660 (or 211260640 counting only the distinct ones).

The product of its digits is 3386105856, while the sum is 81.

The spelling of 126492716949984 in words is "one hundred twenty-six trillion, four hundred ninety-two billion, seven hundred sixteen million, nine hundred forty-nine thousand, nine hundred eighty-four".