114961464 has 64 divisors (see below), whose sum is σ = 321350400. Its totient is φ = 38079072.

The previous prime is 114961459. The next prime is 114961507. The reversal of 114961464 is 464169411.

It is a super-2 number, since 2×114961464² = 26432276410046592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34479 + ... + 37665.

It is an arithmetic number, because the mean of its divisors is an integer number (5021100).

Almost surely, 2^114961464 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 114961464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160675200).

114961464 is an abundant number, since it is smaller than the sum of its proper divisors (206388936).

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

114961464 is a wasteful number, since it uses less digits than its factorization.

114961464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3359 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 114961464 is about 10722.0083939531. The cubic root of 114961464 is about 486.2400886598.

The spelling of 114961464 in words is "one hundred fourteen million, nine hundred sixty-one thousand, four hundred sixty-four".