10345016414115 has 96 divisors (see below), whose sum is σ = 19008280549440. Its totient is φ = 5195473920000.

The previous prime is 10345016414111. The next prime is 10345016414123. The reversal of 10345016414115 is 51141461054301.

10345016414115 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 5 + 0 + 1 + 641 + 4 + 1 + 1 + 5 = 666.

It is not a de Polignac number, because 10345016414115 - 2² = 10345016414111 is a prime.

It is a super-3 number, since 3×10345016414115³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10345016414115.

It is not an unprimeable number, because it can be changed into a prime (10345016414111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173915019 + ... + 173974491.

It is an arithmetic number, because the mean of its divisors is an integer number (198002922390).

Almost surely, 2^{10345016414115} is an apocalyptic number.

10345016414115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10345016414115 is a deficient number, since it is larger than the sum of its proper divisors (8663264135325).

10345016414115 is a wasteful number, since it uses less digits than its factorization.

10345016414115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62805 (or 62802 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 10345016414115 its reverse (51141461054301), we get a palindrome (61486477468416).

The spelling of 10345016414115 in words is "ten trillion, three hundred forty-five billion, sixteen million, four hundred fourteen thousand, one hundred fifteen".