2361328114464 has 1152 divisors, whose sum is σ = 8310895488000. Its totient is φ = 657244938240.

The previous prime is 2361328114451. The next prime is 2361328114567. The reversal of 2361328114464 is 4644118231632.

2361328114464 is a `hidden beast` number, since 2 + 3 + 613 + 28 + 1 + 1 + 4 + 4 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6765982962 + ... + 6765983310.

It is an arithmetic number, because the mean of its divisors is an integer number (7214319000).

Almost surely, 2^{2361328114464} is an apocalyptic number.

2361328114464 is a gapful number since it is divisible by the number (24) 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 2361328114464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155447744000).

2361328114464 is an abundant number, since it is smaller than the sum of its proper divisors (5949567373536).

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

2361328114464 is a wasteful number, since it uses less digits than its factorization.

2361328114464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 429 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 2361328114464 in words is "two trillion, three hundred sixty-one billion, three hundred twenty-eight million, one hundred fourteen thousand, four hundred sixty-four".