3813815114928 has 1280 divisors, whose sum is σ = 15536005632000. Its totient is φ = 865839808512.

The previous prime is 3813815114887. The next prime is 3813815114959. The reversal of 3813815114928 is 8294115183183.

3813815114928 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 81 + 511 + 49 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 368230326 + ... + 368240682.

It is an arithmetic number, because the mean of its divisors is an integer number (12137504400).

Almost surely, 2^{3813815114928} is an apocalyptic number.

3813815114928 is a gapful number since it is divisible by the number (38) 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 3813815114928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7768002816000).

3813815114928 is an abundant number, since it is smaller than the sum of its proper divisors (11722190517072).

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

3813815114928 is a wasteful number, since it uses less digits than its factorization.

3813815114928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10459 (or 10447 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 3813815114928 in words is "three trillion, eight hundred thirteen billion, eight hundred fifteen million, one hundred fourteen thousand, nine hundred twenty-eight".