10356117534408 has 128 divisors (see below), whose sum is σ = 26942760069120. Its totient is φ = 3314899104000.

The previous prime is 10356117534401. The next prime is 10356117534431. The reversal of 10356117534408 is 80443571165301.

It is a super-3 number, since 3×10356117534408³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10356117534401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18696610 + ... + 19242542.

It is an arithmetic number, because the mean of its divisors is an integer number (210490313040).

Almost surely, 2^{10356117534408} 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 10356117534408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471380034560).

10356117534408 is an abundant number, since it is smaller than the sum of its proper divisors (16586642534712).

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

10356117534408 is a wasteful number, since it uses less digits than its factorization.

10356117534408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546307 (or 546303 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

Adding to 10356117534408 its reverse (80443571165301), we get a palindrome (90799688699709).

The spelling of 10356117534408 in words is "ten trillion, three hundred fifty-six billion, one hundred seventeen million, five hundred thirty-four thousand, four hundred eight".