2446828039656 has 1152 divisors, whose sum is σ = 9369074131200. Its totient is φ = 586051614720.

The previous prime is 2446828039639. The next prime is 2446828039687. The reversal of 2446828039656 is 6569308286442.

It is a happy number.

2446828039656 is a `hidden beast` number, since 2 + 4 + 46 + 82 + 80 + 396 + 56 = 666.

2446828039656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2446828039593 and 2446828039602.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2504429440 + ... + 2504430416.

It is an arithmetic number, because the mean of its divisors is an integer number (8132876850).

Almost surely, 2^{2446828039656} is an apocalyptic number.

2446828039656 is a gapful number since it is divisible by the number (26) 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 2446828039656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684537065600).

2446828039656 is an abundant number, since it is smaller than the sum of its proper divisors (6922246091544).

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

2446828039656 is a wasteful number, since it uses less digits than its factorization.

2446828039656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 2446828039656 in words is "two trillion, four hundred forty-six billion, eight hundred twenty-eight million, thirty-nine thousand, six hundred fifty-six".