333225095098896 has 3840 divisors, whose sum is σ = 1403368738652160. Its totient is φ = 73390709145600.

The previous prime is 333225095098867. The next prime is 333225095098897. The reversal of 333225095098896 is 698890590522333.

333225095098896 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 25 + 0 + 9 + 509 + 8 + 8 + 96 = 666.

It is a super-2 number, since 2×333225095098896² (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 not an unprimeable number, because it can be changed into a prime (333225095098897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 729157757100 + ... + 729157757556.

It is an arithmetic number, because the mean of its divisors is an integer number (365460609024).

Almost surely, 2^{333225095098896} is an apocalyptic number.

333225095098896 is a gapful number since it is divisible by the number (36) 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 333225095098896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701684369326080).

333225095098896 is an abundant number, since it is smaller than the sum of its proper divisors (1070143643553264).

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

333225095098896 is a wasteful number, since it uses less digits than its factorization.

333225095098896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 333225095098896 in words is "three hundred thirty-three trillion, two hundred twenty-five billion, ninety-five million, ninety-eight thousand, eight hundred ninety-six".