114518016 has 192 divisors, whose sum is σ = 360360000. Its totient is φ = 35831808.

The previous prime is 114518009. The next prime is 114518017. The reversal of 114518016 is 610815411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×114518016² = 26228751977152512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114518017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050570 + ... + 1050678.

It is an arithmetic number, because the mean of its divisors is an integer number (1876875).

Almost surely, 2^114518016 is an apocalyptic number.

114518016 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 114518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180180000).

114518016 is an abundant number, since it is smaller than the sum of its proper divisors (245841984).

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

114518016 is a wasteful number, since it uses less digits than its factorization.

114518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 114518016 is about 10701.3090787997. The cubic root of 114518016 is about 485.6140816853.

The spelling of 114518016 in words is "one hundred fourteen million, five hundred eighteen thousand, sixteen".