864963005148 has 288 divisors, whose sum is σ = 2551761838080. Its totient is φ = 246326572800.

The previous prime is 864963005143. The next prime is 864963005149. The reversal of 864963005148 is 841500369468.

864963005148 is a `hidden beast` number, since 8 + 6 + 4 + 96 + 30 + 0 + 514 + 8 = 666.

It is a super-2 number, since 2×864963005148² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 864963005094 and 864963005103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864963005143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115617568 + ... + 115625048.

It is an arithmetic number, because the mean of its divisors is an integer number (8860284160).

Almost surely, 2^864963005148 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 864963005148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275880919040).

864963005148 is an abundant number, since it is smaller than the sum of its proper divisors (1686798832932).

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

864963005148 is a wasteful number, since it uses less digits than its factorization.

864963005148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 7643 counting only the distinct ones).

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

The spelling of 864963005148 in words is "eight hundred sixty-four billion, nine hundred sixty-three million, five thousand, one hundred forty-eight".