10354431056312 has 64 divisors (see below), whose sum is σ = 22614809929920. Its totient is φ = 4352324640768.

The previous prime is 10354431056183. The next prime is 10354431056323. The reversal of 10354431056312 is 21365013445301.

It is a super-3 number, since 3×10354431056312³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7677848 + ... + 8925144.

It is an arithmetic number, because the mean of its divisors is an integer number (353356405155).

Almost surely, 2^{10354431056312} 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 10354431056312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307404964960).

10354431056312 is an abundant number, since it is smaller than the sum of its proper divisors (12260378873608).

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

10354431056312 is a wasteful number, since it uses less digits than its factorization.

10354431056312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250160 (or 1250156 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 10354431056312 in words is "ten trillion, three hundred fifty-four billion, four hundred thirty-one million, fifty-six thousand, three hundred twelve".