10344974037792 has 192 divisors, whose sum is σ = 30017714759424. Its totient is φ = 3102858936320.

The previous prime is 10344974037751. The next prime is 10344974037803. The reversal of 10344974037792 is 29773047944301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78046198 + ... + 78178634.

It is an arithmetic number, because the mean of its divisors is an integer number (156342264372).

Almost surely, 2^{10344974037792} is an apocalyptic number.

10344974037792 is a gapful number since it is divisible by the number (12) 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 10344974037792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008857379712).

10344974037792 is an abundant number, since it is smaller than the sum of its proper divisors (19672740721632).

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

10344974037792 is a wasteful number, since it uses less digits than its factorization.

10344974037792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134571 (or 134563 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 60.

The spelling of 10344974037792 in words is "ten trillion, three hundred forty-four billion, nine hundred seventy-four million, thirty-seven thousand, seven hundred ninety-two".