3916456261056 has 168 divisors, whose sum is σ = 11441514399120. Its totient is φ = 1280417808384.

The previous prime is 3916456261051. The next prime is 3916456261057. The reversal of 3916456261056 is 6501626546193.

3916456261056 is a `hidden beast` number, since 3 + 9 + 1 + 6 + 4 + 5 + 626 + 1 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3916456260993 and 3916456261011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3916456261051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96722991 + ... + 96763473.

Almost surely, 2^{3916456261056} is an apocalyptic number.

3916456261056 is a gapful number since it is divisible by the number (36) 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 3916456261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720757199560).

3916456261056 is an abundant number, since it is smaller than the sum of its proper divisors (7525058138064).

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

3916456261056 is a wasteful number, since it uses less digits than its factorization.

3916456261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43723 (or 43710 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 3916456261056 in words is "three trillion, nine hundred sixteen billion, four hundred fifty-six million, two hundred sixty-one thousand, fifty-six".