2312167605552 has 480 divisors, whose sum is σ = 7841618104320. Its totient is φ = 622022768640.

The previous prime is 2312167605529. The next prime is 2312167605569. The reversal of 2312167605552 is 2555067612132.

It is a happy number.

2312167605552 is a `hidden beast` number, since 2 + 3 + 1 + 21 + 6 + 76 + 0 + 5 + 552 = 666.

2312167605552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2312167605552² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2312167605498 and 2312167605507.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361442418 + ... + 361448814.

It is an arithmetic number, because the mean of its divisors is an integer number (16336704384).

Almost surely, 2^{2312167605552} 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 2312167605552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920809052160).

2312167605552 is an abundant number, since it is smaller than the sum of its proper divisors (5529450498768).

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

2312167605552 is a wasteful number, since it uses less digits than its factorization.

2312167605552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2312167605552 in words is "two trillion, three hundred twelve billion, one hundred sixty-seven million, six hundred five thousand, five hundred fifty-two".