31434213321450 has 144 divisors (see below), whose sum is σ = 89433448767936. Its totient is φ = 7888280947200.

The previous prime is 31434213321449. The next prime is 31434213321473. The reversal of 31434213321450 is 5412331243413.

31434213321450 is a `hidden beast` number, since 3 + 1 + 434 + 2 + 1 + 3 + 3 + 214 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55801899 + ... + 56362401.

It is an arithmetic number, because the mean of its divisors is an integer number (621065616444).

Almost surely, 2^{31434213321450} is an apocalyptic number.

31434213321450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434213321450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44716724383968).

31434213321450 is an abundant number, since it is smaller than the sum of its proper divisors (57999235446486).

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

31434213321450 is a wasteful number, since it uses less digits than its factorization.

31434213321450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567869 (or 567861 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 31434213321450 its reverse (5412331243413), we get a palindrome (36846544564863).

The spelling of 31434213321450 in words is "thirty-one trillion, four hundred thirty-four billion, two hundred thirteen million, three hundred twenty-one thousand, four hundred fifty".