10615317468 has 72 divisors (see below), whose sum is σ = 28862064000. Its totient is φ = 3027784032.

The previous prime is 10615317437. The next prime is 10615317481. The reversal of 10615317468 is 86471351601.

It is a super-2 number, since 2×10615317468² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337143 + ... + 367281.

It is an arithmetic number, because the mean of its divisors is an integer number (400862000).

Almost surely, 2^10615317468 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 10615317468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431032000).

10615317468 is an abundant number, since it is smaller than the sum of its proper divisors (18246746532).

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

10615317468 is a wasteful number, since it uses less digits than its factorization.

10615317468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30759 (or 30750 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10615317468 in words is "ten billion, six hundred fifteen million, three hundred seventeen thousand, four hundred sixty-eight".