2813454978048 has 2112 divisors, whose sum is σ = 10759739443200. Its totient is φ = 717352796160.

The previous prime is 2813454978041. The next prime is 2813454978049. The reversal of 2813454978048 is 8408794543182.

It is a happy number.

2813454978048 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 4 + 549 + 7 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813454978041) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 41991865311 + ... + 41991865377.

It is an arithmetic number, because the mean of its divisors is an integer number (5094573600).

Almost surely, 2^{2813454978048} 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 2813454978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379869721600).

2813454978048 is an abundant number, since it is smaller than the sum of its proper divisors (7946284465152).

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

2813454978048 is a wasteful number, since it uses less digits than its factorization.

2813454978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2813454978048 in words is "two trillion, eight hundred thirteen billion, four hundred fifty-four million, nine hundred seventy-eight thousand, forty-eight".