11002498416 has 720 divisors, whose sum is σ = 41678582400. Its totient is φ = 2677183488.

The previous prime is 11002498369. The next prime is 11002498427. The reversal of 11002498416 is 61489420011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102827035 + ... + 102827141.

It is an arithmetic number, because the mean of its divisors is an integer number (57886920).

Almost surely, 2^11002498416 is an apocalyptic number.

11002498416 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 11002498416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20839291200).

11002498416 is an abundant number, since it is smaller than the sum of its proper divisors (30676083984).

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

11002498416 is a wasteful number, since it uses less digits than its factorization.

11002498416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11002498416 in words is "eleven billion, two million, four hundred ninety-eight thousand, four hundred sixteen".