311145163263660 has 192 divisors, whose sum is σ = 955061159399424. Its totient is φ = 75060034252800.

The previous prime is 311145163263659. The next prime is 311145163263667. The reversal of 311145163263660 is 66362361541113.

It is a super-2 number, since 2×311145163263660² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311145163263667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358833352 + ... + 359699408.

It is an arithmetic number, because the mean of its divisors is an integer number (4974276871872).

Almost surely, 2^{311145163263660} is an apocalyptic number.

311145163263660 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 311145163263660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477530579699712).

311145163263660 is an abundant number, since it is smaller than the sum of its proper divisors (643915996135764).

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

311145163263660 is a wasteful number, since it uses less digits than its factorization.

311145163263660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868744 (or 868742 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 311145163263660 in words is "three hundred eleven trillion, one hundred forty-five billion, one hundred sixty-three million, two hundred sixty-three thousand, six hundred sixty".