1917678481056 has 576 divisors, whose sum is σ = 6187832921088. Its totient is φ = 580690280448.

The previous prime is 1917678480983. The next prime is 1917678481063. The reversal of 1917678481056 is 6501848767191.

1917678481056 is a `hidden beast` number, since 1 + 91 + 7 + 67 + 8 + 481 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1917678480984 and 1917678481002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2186634090 + ... + 2186634966.

It is an arithmetic number, because the mean of its divisors is an integer number (10742765488).

Almost surely, 2^{1917678481056} is an apocalyptic number.

1917678481056 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 1917678481056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093916460544).

1917678481056 is an abundant number, since it is smaller than the sum of its proper divisors (4270154440032).

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

1917678481056 is a wasteful number, since it uses less digits than its factorization.

1917678481056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 1917678481056 in words is "one trillion, nine hundred seventeen billion, six hundred seventy-eight million, four hundred eighty-one thousand, fifty-six".