868149996613632 has 312 divisors, whose sum is σ = 2663026148749200. Its totient is φ = 271726476263424.

The previous prime is 868149996613607. The next prime is 868149996613681. The reversal of 868149996613632 is 236316699941868.

868149996613632 is a `hidden beast` number, since 8 + 6 + 8 + 1 + 499 + 9 + 6 + 61 + 3 + 63 + 2 = 666.

It is a super-3 number, since 3×868149996613632³ (a number of 46 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 73662594 + ... + 84631422.

It is an arithmetic number, because the mean of its divisors is an integer number (8535340220350).

Almost surely, 2^{868149996613632} 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 868149996613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331513074374600).

868149996613632 is an abundant number, since it is smaller than the sum of its proper divisors (1794876152135568).

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

868149996613632 is a wasteful number, since it uses less digits than its factorization.

868149996613632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10968991 (or 10968966 counting only the distinct ones).

The product of its digits is 4353564672, while the sum is 81.

The spelling of 868149996613632 in words is "eight hundred sixty-eight trillion, one hundred forty-nine billion, nine hundred ninety-six million, six hundred thirteen thousand, six hundred thirty-two".