869248036512 has 288 divisors, whose sum is σ = 2588419229760. Its totient is φ = 276425809920.

The previous prime is 869248036499. The next prime is 869248036513. The reversal of 869248036512 is 215630842968.

869248036512 is a `hidden beast` number, since 8 + 6 + 92 + 4 + 8 + 0 + 36 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×869248036512² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (869248036513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278514312 + ... + 278517432.

It is an arithmetic number, because the mean of its divisors is an integer number (8987566770).

Almost surely, 2^869248036512 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 869248036512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294209614880).

869248036512 is an abundant number, since it is smaller than the sum of its proper divisors (1719171193248).

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

869248036512 is a wasteful number, since it uses less digits than its factorization.

869248036512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 869248036512 in words is "eight hundred sixty-nine billion, two hundred forty-eight million, thirty-six thousand, five hundred twelve".