2455378848 has 144 divisors (see below), whose sum is σ = 7598243016. Its totient is φ = 747601920.

The previous prime is 2455378829. The next prime is 2455378883. The reversal of 2455378848 is 8488735542.

2455378848 is a `hidden beast` number, since 2 + 4 + 553 + 7 + 8 + 84 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1983099024 + 472279824 = 44532^2 + 21732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2455378794 and 2455378803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359788 + ... + 366548.

Almost surely, 2^2455378848 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 2455378848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799121508).

2455378848 is an abundant number, since it is smaller than the sum of its proper divisors (5142864168).

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

2455378848 is a wasteful number, since it uses less digits than its factorization.

2455378848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6876 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The square root of 2455378848 is about 49551.7794635067. The cubic root of 2455378848 is about 1349.0855898260.

The spelling of 2455378848 in words is "two billion, four hundred fifty-five million, three hundred seventy-eight thousand, eight hundred forty-eight".