1115438016 has 336 divisors, whose sum is σ = 3913306880. Its totient is φ = 274475520.

The previous prime is 1115438003. The next prime is 1115438047. The reversal of 1115438016 is 6108345111.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58707255 + ... + 58707273.

Almost surely, 2^1115438016 is an apocalyptic number.

1115438016 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 1115438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956653440).

1115438016 is an abundant number, since it is smaller than the sum of its proper divisors (2797868864).

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

1115438016 is an equidigital number, since it uses as much as digits as its factorization.

1115438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1115438016 is about 33398.1738422926. The cubic root of 1115438016 is about 1037.0868971512.

It can be divided in two parts, 11154 and 38016, that multiplied together give a square (424030464 = 20592²).

The spelling of 1115438016 in words is "one billion, one hundred fifteen million, four hundred thirty-eight thousand, sixteen".