11114616000 has 224 divisors, whose sum is σ = 37886883840. Its totient is φ = 2868096000.

The previous prime is 11114615983. The next prime is 11114616017. The reversal of 11114616000 is 61641111.

It is an interprime number because it is at equal distance from previous prime (11114615983) and next prime (11114616017).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736531 + ... + 751469.

Almost surely, 2^11114616000 is an apocalyptic number.

11114616000 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 11114616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943441920).

11114616000 is an abundant number, since it is smaller than the sum of its proper divisors (26772267840).

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

11114616000 is a wasteful number, since it uses less digits than its factorization.

11114616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000 (or 14980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 11114616000 in words is "eleven billion, one hundred fourteen million, six hundred sixteen thousand".