1115051664384 has 704 divisors, whose sum is σ = 3873644544000. Its totient is φ = 316719341568.

The previous prime is 1115051664379. The next prime is 1115051664403. The reversal of 1115051664384 is 4834661505111.

1115051664384 is a `hidden beast` number, since 1 + 1 + 1 + 50 + 5 + 166 + 438 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2911361857 + ... + 2911362239.

It is an arithmetic number, because the mean of its divisors is an integer number (5502336000).

Almost surely, 2^{1115051664384} is an apocalyptic number.

1115051664384 is a gapful number since it is divisible by the number (14) 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 1115051664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936822272000).

1115051664384 is an abundant number, since it is smaller than the sum of its proper divisors (2758592879616).

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

1115051664384 is an equidigital number, since it uses as much as digits as its factorization.

1115051664384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1115051664384 in words is "one trillion, one hundred fifteen billion, fifty-one million, six hundred sixty-four thousand, three hundred eighty-four".