3115533150144 has 280 divisors, whose sum is σ = 9316298825328. Its totient is φ = 1029447843840.

The previous prime is 3115533150089. The next prime is 3115533150187. The reversal of 3115533150144 is 4410513355113.

3115533150144 is a `hidden beast` number, since 3 + 11 + 553 + 3 + 1 + 50 + 1 + 44 = 666.

3115533150144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3115533150099 and 3115533150108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360548064 + ... + 360556704.

Almost surely, 2^{3115533150144} 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 3115533150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658149412664).

3115533150144 is an abundant number, since it is smaller than the sum of its proper divisors (6200765675184).

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

3115533150144 is a wasteful number, since it uses less digits than its factorization.

3115533150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 3115533150144 in words is "three trillion, one hundred fifteen billion, five hundred thirty-three million, one hundred fifty thousand, one hundred forty-four".