852149181708 has 576 divisors, whose sum is σ = 2615348736000. Its totient is φ = 239907951360.

The previous prime is 852149181677. The next prime is 852149181739. The reversal of 852149181708 is 807181941258.

852149181708 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 491 + 81 + 70 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (852149181677) and next prime (852149181739).

It is a super-2 number, since 2×852149181708² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4282156593 + ... + 4282156791.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536000).

Almost surely, 2^852149181708 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 852149181708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307674368000).

852149181708 is an abundant number, since it is smaller than the sum of its proper divisors (1763199554292).

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

852149181708 is a wasteful number, since it uses less digits than its factorization.

852149181708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 852149181708 in words is "eight hundred fifty-two billion, one hundred forty-nine million, one hundred eighty-one thousand, seven hundred eight".