961656411456 has 1008 divisors, whose sum is σ = 3239871258624. Its totient is φ = 282457663488.

The previous prime is 961656411407. The next prime is 961656411607. The reversal of 961656411456 is 654114656169.

It is a happy number.

961656411456 is a `hidden beast` number, since 9 + 6 + 16 + 564 + 1 + 14 + 56 = 666.

961656411456 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7572097665 + ... + 7572097791.

Almost surely, 2^961656411456 is an apocalyptic number.

961656411456 is a gapful number since it is divisible by the number (96) 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 961656411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619935629312).

961656411456 is an abundant number, since it is smaller than the sum of its proper divisors (2278214847168).

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

961656411456 is a wasteful number, since it uses less digits than its factorization.

961656411456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 255 counting only the distinct ones).

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

The spelling of 961656411456 in words is "nine hundred sixty-one billion, six hundred fifty-six million, four hundred eleven thousand, four hundred fifty-six".