126969643584 has 525 divisors, whose sum is σ = 443471689001. Its totient is φ = 35917862400.

The previous prime is 126969643513. The next prime is 126969643597. The reversal of 126969643584 is 485346969621.

The square root of 126969643584 is 356328.

It is a perfect power (a square), and thus also a powerful number.

126969643584 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 6 + 9 + 6 + 43 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121990929984 + 4978713600 = 349272^2 + 70560^2 .

It is a super-2 number, since 2×126969643584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1257125134 + ... + 1257125234.

Almost surely, 2^126969643584 is an apocalyptic number.

126969643584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

126969643584 is the 356328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126969643584

126969643584 is an abundant number, since it is smaller than the sum of its proper divisors (316502045417).

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

126969643584 is an frugal number, since it uses more digits than its factorization.

126969643584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 113 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 126969643584 in words is "one hundred twenty-six billion, nine hundred sixty-nine million, six hundred forty-three thousand, five hundred eighty-four".