1115252506368 has 864 divisors, whose sum is σ = 4507349656320. Its totient is φ = 267381596160.

The previous prime is 1115252506367. The next prime is 1115252506369. The reversal of 1115252506368 is 8636052525111.

1115252506368 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 2 + 5 + 2 + 5 + 0 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1115252506367) and next prime (1115252506369).

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115252506367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48420871 + ... + 48443897.

It is an arithmetic number, because the mean of its divisors is an integer number (5216839880).

Almost surely, 2^{1115252506368} is an apocalyptic number.

1115252506368 is a gapful number since it is divisible by the number (18) 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 1115252506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253674828160).

1115252506368 is an abundant number, since it is smaller than the sum of its proper divisors (3392097149952).

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

1115252506368 is a wasteful number, since it uses less digits than its factorization.

1115252506368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23090 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1115252506368 in words is "one trillion, one hundred fifteen billion, two hundred fifty-two million, five hundred six thousand, three hundred sixty-eight".