85833864687474 has 256 divisors, whose sum is σ = 196443826421760. Its totient is φ = 27772086988800.

The previous prime is 85833864687469. The next prime is 85833864687533. The reversal of 85833864687474 is 47478646833858.

85833864687474 is a `hidden beast` number, since 8 + 5 + 8 + 3 + 3 + 8 + 64 + 6 + 87 + 474 = 666.

It is a super-2 number, since 2×85833864687474² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85833864687393 and 85833864687402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62789951539 + ... + 62789952905.

It is an arithmetic number, because the mean of its divisors is an integer number (767358696960).

Almost surely, 2^{85833864687474} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85833864687474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98221913210880).

85833864687474 is an abundant number, since it is smaller than the sum of its proper divisors (110609961734286).

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

85833864687474 is a wasteful number, since it uses less digits than its factorization.

85833864687474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2336 counting only the distinct ones).

The product of its digits is 20808990720, while the sum is 81.

The spelling of 85833864687474 in words is "eighty-five trillion, eight hundred thirty-three billion, eight hundred sixty-four million, six hundred eighty-seven thousand, four hundred seventy-four".