1946563081056 has 240 divisors, whose sum is σ = 6460578487440. Its totient is φ = 569527096320.

The previous prime is 1946563080991. The next prime is 1946563081123. The reversal of 1946563081056 is 6501803656491.

1946563081056 is a `hidden beast` number, since 19 + 4 + 6 + 563 + 0 + 8 + 10 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1946563080993 and 1946563081011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 350251 + ... + 2003946.

It is an arithmetic number, because the mean of its divisors is an integer number (26919077031).

Almost surely, 2^{1946563081056} is an apocalyptic number.

1946563081056 is a gapful number since it is divisible by the number (16) 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 1946563081056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230289243720).

1946563081056 is an abundant number, since it is smaller than the sum of its proper divisors (4514015406384).

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

1946563081056 is a wasteful number, since it uses less digits than its factorization.

1946563081056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354259 (or 2354242 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1946563081056 in words is "one trillion, nine hundred forty-six billion, five hundred sixty-three million, eighty-one thousand, fifty-six".