431451049499712 has 168 divisors, whose sum is σ = 1349239375310112. Its totient is φ = 130729397299200.

The previous prime is 431451049499669. The next prime is 431451049499719. The reversal of 431451049499712 is 217994940154134.

It is a happy number.

431451049499712 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 51 + 0 + 494 + 9 + 97 + 1 + 2 = 666.

It is a super-2 number, since 2×431451049499712² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431451049499712.

It is not an unprimeable number, because it can be changed into a prime (431451049499719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58692148 + ... + 65632844.

Almost surely, 2^{431451049499712} 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 431451049499712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674619687655056).

431451049499712 is an abundant number, since it is smaller than the sum of its proper divisors (917788325810400).

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

431451049499712 is a wasteful number, since it uses less digits than its factorization.

431451049499712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950537 (or 6950524 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 431451049499712 in words is "four hundred thirty-one trillion, four hundred fifty-one billion, forty-nine million, four hundred ninety-nine thousand, seven hundred twelve".