2456314818048 has 720 divisors, whose sum is σ = 9268919980320. Its totient is φ = 609682194432.

The previous prime is 2456314818019. The next prime is 2456314818091. The reversal of 2456314818048 is 8408184136542.

2456314818048 is a `hidden beast` number, since 2 + 4 + 56 + 31 + 481 + 80 + 4 + 8 = 666.

2456314818048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2456314817985 and 2456314818003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121175658 + ... + 121195926.

Almost surely, 2^{2456314818048} is an apocalyptic number.

2456314818048 is a gapful number since it is divisible by the number (28) 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 2456314818048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634459990160).

2456314818048 is an abundant number, since it is smaller than the sum of its proper divisors (6812605162272).

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

2456314818048 is a wasteful number, since it uses less digits than its factorization.

2456314818048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20347 (or 20311 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 2456314818048 in words is "two trillion, four hundred fifty-six billion, three hundred fourteen million, eight hundred eighteen thousand, forty-eight".