869749947968 has 112 divisors (see below), whose sum is σ = 1929636715776. Its totient is φ = 385537743360.

The previous prime is 869749947943. The next prime is 869749948057.

869749947968 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (86).

It is a self number, because there is not a number n which added to its sum of digits gives 869749947968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19442555 + ... + 19487237.

It is an arithmetic number, because the mean of its divisors is an integer number (17228899248).

Almost surely, 2^869749947968 is an apocalyptic number.

869749947968 is a gapful number since it is divisible by the number (88) 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 869749947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964818357888).

869749947968 is an abundant number, since it is smaller than the sum of its proper divisors (1059886767808).

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

869749947968 is a wasteful number, since it uses less digits than its factorization.

869749947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45392 (or 45382 counting only the distinct ones).

The product of its digits is 11851370496, while the sum is 86.

The spelling of 869749947968 in words is "eight hundred sixty-nine billion, seven hundred forty-nine million, nine hundred forty-seven thousand, nine hundred sixty-eight".