850546131698340 has 8064 divisors, whose sum is σ = 3997297870110720. Its totient is φ = 147498771087360.

The previous prime is 850546131698303. The next prime is 850546131698411. The reversal of 850546131698340 is 43896131645058.

It is a happy number.

850546131698340 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 4 + 613 + 1 + 6 + 9 + 8 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 2687 ways as a sum of consecutive naturals, for example, 6697213635357 + ... + 6697213635483.

It is an arithmetic number, because the mean of its divisors is an integer number (495696660480).

Almost surely, 2^{850546131698340} 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 850546131698340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998648935055360).

850546131698340 is an abundant number, since it is smaller than the sum of its proper divisors (3146751738412380).

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

850546131698340 is a wasteful number, since it uses less digits than its factorization.

850546131698340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 850546131698340 in words is "eight hundred fifty trillion, five hundred forty-six billion, one hundred thirty-one million, six hundred ninety-eight thousand, three hundred forty".