712009299456 has 480 divisors, whose sum is σ = 2677914727488. Its totient is φ = 176734863360.

The previous prime is 712009299451. The next prime is 712009299481. The reversal of 712009299456 is 654992900217.

712009299456 is a `hidden beast` number, since 7 + 12 + 0 + 0 + 92 + 99 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712009299451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7078636 + ... + 7178516.

Almost surely, 2^712009299456 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 712009299456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338957363744).

712009299456 is an abundant number, since it is smaller than the sum of its proper divisors (1965905428032).

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

712009299456 is a wasteful number, since it uses less digits than its factorization.

712009299456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99942 (or 99923 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 712009299456 in words is "seven hundred twelve billion, nine million, two hundred ninety-nine thousand, four hundred fifty-six".