114208164 has 96 divisors (see below), whose sum is σ = 356249600. Its totient is φ = 30909600.

The previous prime is 114208153. The next prime is 114208169. The reversal of 114208164 is 461802411.

114208164 = T₃₇₁ + T₃₇₂ + ... + T₉₀₂.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (114208169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10389 + ... + 18339.

Almost surely, 2^114208164 is an apocalyptic number.

114208164 is a gapful number since it is divisible by the number (14) 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 114208164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178124800).

114208164 is an abundant number, since it is smaller than the sum of its proper divisors (242041436).

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

114208164 is a wasteful number, since it uses less digits than its factorization.

114208164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 114208164 is about 10686.8219784930. The cubic root of 114208164 is about 485.1757098848.

The spelling of 114208164 in words is "one hundred fourteen million, two hundred eight thousand, one hundred sixty-four".