11103115392 has 256 divisors, whose sum is σ = 34186320000. Its totient is φ = 3543257088.

The previous prime is 11103115391. The next prime is 11103115393. The reversal of 11103115392 is 29351130111.

It is a happy number.

11103115392 is a `hidden beast` number, since 1 + 110 + 3 + 11 + 539 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11103115391) and next prime (11103115393).

It is a super-4 number, since 4×11103115392⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11103115391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13930738 + ... + 13931534.

Almost surely, 2^11103115392 is an apocalyptic number.

11103115392 is a gapful number since it is divisible by the number (12) 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 11103115392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093160000).

11103115392 is an abundant number, since it is smaller than the sum of its proper divisors (23083204608).

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

11103115392 is a wasteful number, since it uses less digits than its factorization.

11103115392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 11103115392 in words is "eleven billion, one hundred three million, one hundred fifteen thousand, three hundred ninety-two".