864632211534 has 256 divisors, whose sum is σ = 2449004544000. Its totient is φ = 219932858880.

The previous prime is 864632211511. The next prime is 864632211539. The reversal of 864632211534 is 435112236468.

864632211534 is a `hidden beast` number, since 8 + 6 + 4 + 632 + 2 + 1 + 1 + 5 + 3 + 4 = 666.

It is a super-2 number, since 2×864632211534² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 864632211534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864632211539) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158036419 + ... + 158041889.

It is an arithmetic number, because the mean of its divisors is an integer number (9566424000).

Almost surely, 2^864632211534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864632211534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224502272000).

864632211534 is an abundant number, since it is smaller than the sum of its proper divisors (1584372332466).

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

864632211534 is a wasteful number, since it uses less digits than its factorization.

864632211534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640 (or 6634 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 864632211534 in words is "eight hundred sixty-four billion, six hundred thirty-two million, two hundred eleven thousand, five hundred thirty-four".