10344070408848 has 320 divisors, whose sum is σ = 30742855188480. Its totient is φ = 2968506777600.

The previous prime is 10344070408843. The next prime is 10344070408853. The reversal of 10344070408848 is 84880407044301.

It is an interprime number because it is at equal distance from previous prime (10344070408843) and next prime (10344070408853).

It is a self number, because there is not a number n which added to its sum of digits gives 10344070408848.

It is not an unprimeable number, because it can be changed into a prime (10344070408843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146081740 + ... + 146152532.

It is an arithmetic number, because the mean of its divisors is an integer number (96071422464).

Almost surely, 2^{10344070408848} 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 10344070408848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371427594240).

10344070408848 is an abundant number, since it is smaller than the sum of its proper divisors (20398784779632).

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

10344070408848 is a wasteful number, since it uses less digits than its factorization.

10344070408848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71038 (or 71032 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The spelling of 10344070408848 in words is "ten trillion, three hundred forty-four billion, seventy million, four hundred eight thousand, eight hundred forty-eight".