6117167333376 has 1152 divisors, whose sum is σ = 21115052421120. Its totient is φ = 1732666982400.

The previous prime is 6117167333353. The next prime is 6117167333377. The reversal of 6117167333376 is 6733337617116.

6117167333376 is a `hidden beast` number, since 6 + 1 + 171 + 6 + 73 + 33 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6117167333377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44650856380 + ... + 44650856516.

It is an arithmetic number, because the mean of its divisors is an integer number (18329038560).

Almost surely, 2^{6117167333376} is an apocalyptic number.

6117167333376 is a gapful number since it is divisible by the number (66) 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 6117167333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557526210560).

6117167333376 is an abundant number, since it is smaller than the sum of its proper divisors (14997885087744).

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

6117167333376 is a wasteful number, since it uses less digits than its factorization.

6117167333376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 221 counting only the distinct ones).

The product of its digits is 6001128, while the sum is 54.

The spelling of 6117167333376 in words is "six trillion, one hundred seventeen billion, one hundred sixty-seven million, three hundred thirty-three thousand, three hundred seventy-six".