11416638000 has 160 divisors (see below), whose sum is σ = 37411837632. Its totient is φ = 2994432000.

The previous prime is 11416637993. The next prime is 11416638029. The reversal of 11416638000 is 83661411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350404 + ... + 381596.

Almost surely, 2^11416638000 is an apocalyptic number.

11416638000 is a gapful number since it is divisible by the number (10) 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 11416638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18705918816).

11416638000 is an abundant number, since it is smaller than the sum of its proper divisors (25995199632).

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

11416638000 is a wasteful number, since it uses less digits than its factorization.

11416638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31280 (or 31264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 11416638000 in words is "eleven billion, four hundred sixteen million, six hundred thirty-eight thousand".