3111163149600 has 720 divisors, whose sum is σ = 12776600745216. Its totient is φ = 729886464000.

The previous prime is 3111163149583. The next prime is 3111163149617. The reversal of 3111163149600 is 69413611113.

It is a happy number.

3111163149600 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 1 + 6 + 3 + 1 + 49 + 600 = 666.

3111163149600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3111163149583) and next prime (3111163149617).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3111163149600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22026402 + ... + 22167198.

Almost surely, 2^{3111163149600} is an apocalyptic number.

3111163149600 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 3111163149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388300372608).

3111163149600 is an abundant number, since it is smaller than the sum of its proper divisors (9665437595616).

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

3111163149600 is a wasteful number, since it uses less digits than its factorization.

3111163149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140871 (or 140849 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 3111163149600 in words is "three trillion, one hundred eleven billion, one hundred sixty-three million, one hundred forty-nine thousand, six hundred".