3031465042152 has 384 divisors, whose sum is σ = 8681262220800. Its totient is φ = 954809856000.

The previous prime is 3031465042103. The next prime is 3031465042159. The reversal of 3031465042152 is 2512405641303.

3031465042152 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 465 + 0 + 42 + 152 = 666.

It is a super-2 number, since 2×3031465042152² (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 not an unprimeable number, because it can be changed into a prime (3031465042159) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2884362027 + ... + 2884363077.

It is an arithmetic number, because the mean of its divisors is an integer number (22607453700).

Almost surely, 2^{3031465042152} 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 3031465042152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340631110400).

3031465042152 is an abundant number, since it is smaller than the sum of its proper divisors (5649797178648).

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

3031465042152 is a wasteful number, since it uses less digits than its factorization.

3031465042152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3031465042152 in words is "three trillion, thirty-one billion, four hundred sixty-five million, forty-two thousand, one hundred fifty-two".