985956408801 has 48 divisors (see below), whose sum is σ = 1758013106304. Its totient is φ = 518521554432.

The previous prime is 985956408779. The next prime is 985956408817. The reversal of 985956408801 is 108804659589.

It is not a de Polignac number, because 985956408801 - 2²⁵ = 985922854369 is a prime.

It is a super-3 number, since 3×985956408801³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (985956408881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510131 + ... + 2062136.

It is an arithmetic number, because the mean of its divisors is an integer number (36625273048).

Almost surely, 2^985956408801 is an apocalyptic number.

985956408801 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

985956408801 is a deficient number, since it is larger than the sum of its proper divisors (772056697503).

985956408801 is a wasteful number, since it uses less digits than its factorization.

985956408801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572630 (or 3572627 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 985956408801 in words is "nine hundred eighty-five billion, nine hundred fifty-six million, four hundred eight thousand, eight hundred one".