114977016 has 256 divisors, whose sum is σ = 412876800. Its totient is φ = 28771200.

The previous prime is 114976963. The next prime is 114977029. The reversal of 114977016 is 610779411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515481 + ... + 515703.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 2^114977016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114977016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206438400).

114977016 is an abundant number, since it is smaller than the sum of its proper divisors (297899784).

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

114977016 is a wasteful number, since it uses less digits than its factorization.

114977016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 114977016 is about 10722.7336066882. The cubic root of 114977016 is about 486.2620138761.

The spelling of 114977016 in words is "one hundred fourteen million, nine hundred seventy-seven thousand, sixteen".