1161958404096 has 416 divisors, whose sum is σ = 3942437076480. Its totient is φ = 331292934144.

The previous prime is 1161958404083. The next prime is 1161958404127. The reversal of 1161958404096 is 6904048591611.

1161958404096 is a `hidden beast` number, since 1 + 1 + 6 + 19 + 584 + 0 + 40 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454421250 + ... + 454423806.

Almost surely, 2^{1161958404096} is an apocalyptic number.

1161958404096 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 1161958404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971218538240).

1161958404096 is an abundant number, since it is smaller than the sum of its proper divisors (2780478672384).

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

1161958404096 is an equidigital number, since it uses as much as digits as its factorization.

1161958404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1161958404096 in words is "one trillion, one hundred sixty-one billion, nine hundred fifty-eight million, four hundred four thousand, ninety-six".