10345337396352 has 192 divisors, whose sum is σ = 35195806900800. Its totient is φ = 2853886113792.

The previous prime is 10345337396351. The next prime is 10345337396357. The reversal of 10345337396352 is 25369373354301.

10345337396352 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 533 + 73 + 9 + 6 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (10345337396351) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21885178 + ... + 22352889.

It is an arithmetic number, because the mean of its divisors is an integer number (183311494275).

Almost surely, 2^{10345337396352} is an apocalyptic number.

10345337396352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10345337396352 is an abundant number, since it is smaller than the sum of its proper divisors (24850469504448).

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

10345337396352 is a wasteful number, since it uses less digits than its factorization.

10345337396352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44238123 (or 44238108 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 54.

The spelling of 10345337396352 in words is "ten trillion, three hundred forty-five billion, three hundred thirty-seven million, three hundred ninety-six thousand, three hundred fifty-two".