10345836115008 has 168 divisors, whose sum is σ = 29839659429528. Its totient is φ = 3427094396928.

The previous prime is 10345836114923. The next prime is 10345836115031. The reversal of 10345836115008 is 80051163854301.

10345836115008 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 5 + 83 + 61 + 1 + 500 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8131120686144 + 2214715428864 = 2851512^2 + 1488192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226477066 + ... + 226522742.

Almost surely, 2^{10345836115008} is an apocalyptic number.

10345836115008 is a gapful number since it is divisible by the number (18) 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 10345836115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919829714764).

10345836115008 is an abundant number, since it is smaller than the sum of its proper divisors (19493823314520).

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

10345836115008 is a wasteful number, since it uses less digits than its factorization.

10345836115008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48141 (or 48128 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

Adding to 10345836115008 its reverse (80051163854301), we get a palindrome (90396999969309).

The spelling of 10345836115008 in words is "ten trillion, three hundred forty-five billion, eight hundred thirty-six million, one hundred fifteen thousand, eight".