712238430129408 has 2304 divisors, whose sum is σ = 2754256576512000. Its totient is φ = 176427796267008.

The previous prime is 712238430129397. The next prime is 712238430129437. The reversal of 712238430129408 is 804921034832217.

712238430129408 is a `hidden beast` number, since 7 + 1 + 2 + 2 + 3 + 84 + 30 + 129 + 408 = 666.

712238430129408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 220575541938 + ... + 220575545166.

Almost surely, 2^{712238430129408} is an apocalyptic number.

712238430129408 is a gapful number since it is divisible by the number (78) 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 712238430129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377128288256000).

712238430129408 is an abundant number, since it is smaller than the sum of its proper divisors (2042018146382592).

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

712238430129408 is a wasteful number, since it uses less digits than its factorization.

712238430129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 712238430129408 in words is "seven hundred twelve trillion, two hundred thirty-eight billion, four hundred thirty million, one hundred twenty-nine thousand, four hundred eight".