120895168464 has 600 divisors, whose sum is σ = 423130804800. Its totient is φ = 33309118080.

The previous prime is 120895168463. The next prime is 120895168501. The reversal of 120895168464 is 464861598021.

120895168464 is a `hidden beast` number, since 1 + 2 + 0 + 89 + 516 + 8 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 120895168464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120895168463) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 427191267 + ... + 427191549.

It is an arithmetic number, because the mean of its divisors is an integer number (705218008).

Almost surely, 2^120895168464 is an apocalyptic number.

120895168464 is a gapful number since it is divisible by the number (14) 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 120895168464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211565402400).

120895168464 is an abundant number, since it is smaller than the sum of its proper divisors (302235636336).

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

120895168464 is an equidigital number, since it uses as much as digits as its factorization.

120895168464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 120895168464 in words is "one hundred twenty billion, eight hundred ninety-five million, one hundred sixty-eight thousand, four hundred sixty-four".