1061608546656 has 864 divisors, whose sum is σ = 3866629646880. Its totient is φ = 274201804800.

The previous prime is 1061608546601. The next prime is 1061608546709. The reversal of 1061608546656 is 6566458061601.

1061608546656 is a `hidden beast` number, since 10 + 6 + 160 + 8 + 5 + 466 + 5 + 6 = 666.

1061608546656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061608546656² (a number of 25 digits) contains 22 as substring.

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, 2302838266 + ... + 2302838726.

It is an arithmetic number, because the mean of its divisors is an integer number (4475265795).

Almost surely, 2^{1061608546656} is an apocalyptic number.

1061608546656 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 1061608546656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933314823440).

1061608546656 is an abundant number, since it is smaller than the sum of its proper divisors (2805021100224).

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

1061608546656 is a wasteful number, since it uses less digits than its factorization.

1061608546656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1061608546656 in words is "one trillion, sixty-one billion, six hundred eight million, five hundred forty-six thousand, six hundred fifty-six".