3101466368000 has 2304 divisors, whose sum is σ = 11222789760000. Its totient is φ = 845365248000.

The previous prime is 3101466367957. The next prime is 3101466368003. The reversal of 3101466368000 is 8636641013.

It is a happy number.

It is a super-2 number, since 2×3101466368000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101466368003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163235071991 + ... + 163235072009.

It is an arithmetic number, because the mean of its divisors is an integer number (4871002500).

Almost surely, 2^{3101466368000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101466368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611394880000).

3101466368000 is an abundant number, since it is smaller than the sum of its proper divisors (8121323392000).

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

3101466368000 is a wasteful number, since it uses less digits than its factorization.

3101466368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 3101466368000 in words is "three trillion, one hundred one billion, four hundred sixty-six million, three hundred sixty-eight thousand".