63112124592 has 400 divisors, whose sum is σ = 214912494720. Its totient is φ = 17673292800.

The previous prime is 63112124563. The next prime is 63112124599. The reversal of 63112124592 is 29542121136.

63112124592 is a `hidden beast` number, since 6 + 31 + 12 + 1 + 24 + 592 = 666.

It is a super-3 number, since 3×63112124592³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (63112124599) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 11102583 + ... + 11108265.

Almost surely, 2^63112124592 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 63112124592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107456247360).

63112124592 is an abundant number, since it is smaller than the sum of its proper divisors (151800370128).

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

63112124592 is a wasteful number, since it uses less digits than its factorization.

63112124592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5759 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 63112124592 in words is "sixty-three billion, one hundred twelve million, one hundred twenty-four thousand, five hundred ninety-two".