949431171312 has 640 divisors, whose sum is σ = 3237392793600. Its totient is φ = 263595949056.

The previous prime is 949431171281. The next prime is 949431171379. The reversal of 949431171312 is 213171134949.

949431171312 is a `hidden beast` number, since 9 + 49 + 431 + 171 + 3 + 1 + 2 = 666.

949431171312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 694535653 + ... + 694537019.

It is an arithmetic number, because the mean of its divisors is an integer number (5058426240).

Almost surely, 2^949431171312 is an apocalyptic number.

949431171312 is a gapful number since it is divisible by the number (92) 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 949431171312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618696396800).

949431171312 is an abundant number, since it is smaller than the sum of its proper divisors (2287961622288).

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

949431171312 is a wasteful number, since it uses less digits than its factorization.

949431171312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1710 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 949431171312 in words is "nine hundred forty-nine billion, four hundred thirty-one million, one hundred seventy-one thousand, three hundred twelve".