10344379815 has 48 divisors (see below), whose sum is σ = 22354615296. Its totient is φ = 4298961600.

The previous prime is 10344379783. The next prime is 10344379831. The reversal of 10344379815 is 51897344301.

10344379815 is a `hidden beast` number, since 103 + 443 + 7 + 98 + 15 = 666.

10344379815 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10344379815 - 2⁵ = 10344379783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489231 + ... + 1496160.

It is an arithmetic number, because the mean of its divisors is an integer number (465721152).

Almost surely, 2^10344379815 is an apocalyptic number.

10344379815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10344379815 is an abundant number, since it is smaller than the sum of its proper divisors (12010235481).

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

10344379815 is a wasteful number, since it uses less digits than its factorization.

10344379815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985420 (or 2985417 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10344379815 in words is "ten billion, three hundred forty-four million, three hundred seventy-nine thousand, eight hundred fifteen".