1956035379456 has 216 divisors, whose sum is σ = 5700058780416. Its totient is φ = 645049958400.

The previous prime is 1956035379433. The next prime is 1956035379469. The reversal of 1956035379456 is 6549735306591.

1956035379456 is a `hidden beast` number, since 1 + 9 + 5 + 6 + 0 + 3 + 537 + 94 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1956035379393 and 1956035379402.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 285008281 + ... + 285015143.

Almost surely, 2^{1956035379456} is an apocalyptic number.

1956035379456 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 1956035379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850029390208).

1956035379456 is an abundant number, since it is smaller than the sum of its proper divisors (3744023400960).

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

1956035379456 is a wasteful number, since it uses less digits than its factorization.

1956035379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 1956035379456 in words is "one trillion, nine hundred fifty-six billion, thirty-five million, three hundred seventy-nine thousand, four hundred fifty-six".