1164338077056 has 1536 divisors, whose sum is σ = 4336778880000. Its totient is φ = 269773701120.

The previous prime is 1164338077031. The next prime is 1164338077069. The reversal of 1164338077056 is 6507708334611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13082450260 + ... + 13082450348.

It is an arithmetic number, because the mean of its divisors is an integer number (2823423750).

Almost surely, 2^{1164338077056} is an apocalyptic number.

1164338077056 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 1164338077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168389440000).

1164338077056 is an abundant number, since it is smaller than the sum of its proper divisors (3172440802944).

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

1164338077056 is a wasteful number, since it uses less digits than its factorization.

1164338077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 1164338077056 in words is "one trillion, one hundred sixty-four billion, three hundred thirty-eight million, seventy-seven thousand, fifty-six".