114361380 has 288 divisors, whose sum is σ = 443439360. Its totient is φ = 23224320.

The previous prime is 114361349. The next prime is 114361409. The reversal of 114361380 is 83163411.

114361380 is a `hidden beast` number, since 1 + 1 + 43 + 613 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406840 + ... + 407120.

It is an arithmetic number, because the mean of its divisors is an integer number (1539720).

Almost surely, 2^114361380 is an apocalyptic number.

114361380 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 114361380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221719680).

114361380 is an abundant number, since it is smaller than the sum of its proper divisors (329077980).

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

114361380 is a wasteful number, since it uses less digits than its factorization.

114361380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114361380 is about 10693.9880306647. The cubic root of 114361380 is about 485.3925754794.

The spelling of 114361380 in words is "one hundred fourteen million, three hundred sixty-one thousand, three hundred eighty".