336847805991072 has 192 divisors, whose sum is σ = 995282155929600. Its totient is φ = 110819737716480.

The previous prime is 336847805991023. The next prime is 336847805991127. The reversal of 336847805991072 is 270199508748633.

336847805991072 is a `hidden beast` number, since 3 + 3 + 68 + 478 + 0 + 5 + 9 + 91 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×336847805991072² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 181387953 + ... + 183235599.

It is an arithmetic number, because the mean of its divisors is an integer number (5183761228800).

It is a 1-persistent number, because it is pandigital, but 2⋅336847805991072 = 673695611982144 is not.

Almost surely, 2^{336847805991072} is an apocalyptic number.

336847805991072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336847805991072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497641077964800).

336847805991072 is an abundant number, since it is smaller than the sum of its proper divisors (658434349938528).

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

336847805991072 is a wasteful number, since it uses less digits than its factorization.

336847805991072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850416 (or 1850402 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 336847805991072 in words is "three hundred thirty-six trillion, eight hundred forty-seven billion, eight hundred five million, nine hundred ninety-one thousand, seventy-two".