3011114588928 has 144 divisors (see below), whose sum is σ = 8486483485536. Its totient is φ = 944538910720.

The previous prime is 3011114588899. The next prime is 3011114588947. The reversal of 3011114588928 is 8298854111103.

It is a happy number.

It is a super-2 number, since 2×3011114588928² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191040568 + ... + 191056328.

It is an arithmetic number, because the mean of its divisors is an integer number (58933913094).

Almost surely, 2^{3011114588928} 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 3011114588928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243241742768).

3011114588928 is an abundant number, since it is smaller than the sum of its proper divisors (5475368896608).

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

3011114588928 is a wasteful number, since it uses less digits than its factorization.

3011114588928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30430 (or 30416 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 3011114588928 in words is "three trillion, eleven billion, one hundred fourteen million, five hundred eighty-eight thousand, nine hundred twenty-eight".