120448480464 has 320 divisors, whose sum is σ = 379344609280. Its totient is φ = 36369285120.

The previous prime is 120448480447. The next prime is 120448480487. The reversal of 120448480464 is 464084844021.

120448480464 is a `hidden beast` number, since 120 + 4 + 4 + 8 + 480 + 46 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69182634 + ... + 69184374.

It is an arithmetic number, because the mean of its divisors is an integer number (1185451904).

Almost surely, 2^120448480464 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 120448480464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189672304640).

120448480464 is an abundant number, since it is smaller than the sum of its proper divisors (258896128816).

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

120448480464 is a wasteful number, since it uses less digits than its factorization.

120448480464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 120448480464 in words is "one hundred twenty billion, four hundred forty-eight million, four hundred eighty thousand, four hundred sixty-four".