3311164846080 has 1664 divisors, whose sum is σ = 15123317207040. Its totient is φ = 668011069440.

The previous prime is 3311164846051. The next prime is 3311164846091. The reversal of 3311164846080 is 806484611133.

3311164846080 is a `hidden beast` number, since 3 + 31 + 1 + 1 + 6 + 4 + 8 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1157343850 + ... + 1157346710.

Almost surely, 2^{3311164846080} is an apocalyptic number.

3311164846080 is a gapful number since it is divisible by the number (30) 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 3311164846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561658603520).

3311164846080 is an abundant number, since it is smaller than the sum of its proper divisors (11812152360960).

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

3311164846080 is a wasteful number, since it uses less digits than its factorization.

3311164846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3311164846080 in words is "three trillion, three hundred eleven billion, one hundred sixty-four million, eight hundred forty-six thousand, eighty".