16114362264000 has 5376 divisors, whose sum is σ = 82384952832000. Its totient is φ = 3090866688000.

The previous prime is 16114362263999. The next prime is 16114362264001. The reversal of 16114362264000 is 46226341161.

16114362264000 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 4 + 3 + 6 + 2 + 2 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16114362263999) and next prime (16114362264001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16114362264001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1239566327994 + ... + 1239566328006.

It is an arithmetic number, because the mean of its divisors is an integer number (15324582000).

Almost surely, 2^{16114362264000} is an apocalyptic number.

16114362264000 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 16114362264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41192476416000).

16114362264000 is an abundant number, since it is smaller than the sum of its proper divisors (66270590568000).

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

16114362264000 is an frugal number, since it uses more digits than its factorization.

16114362264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16114362264000 in words is "sixteen trillion, one hundred fourteen billion, three hundred sixty-two million, two hundred sixty-four thousand".