914065152 has 576 divisors, whose sum is σ = 3461391360. Its totient is φ = 206438400.

The previous prime is 914065151. The next prime is 914065153. The reversal of 914065152 is 251560419.

It is an interprime number because it is at equal distance from previous prime (914065151) and next prime (914065153).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914065151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22294252 + ... + 22294292.

It is an arithmetic number, because the mean of its divisors is an integer number (6009360).

Almost surely, 2^914065152 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 914065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730695680).

914065152 is an abundant number, since it is smaller than the sum of its proper divisors (2547326208).

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

914065152 is a wasteful number, since it uses less digits than its factorization.

914065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 914065152 is about 30233.5104147699. The cubic root of 914065152 is about 970.4929481547.

The spelling of 914065152 in words is "nine hundred fourteen million, sixty-five thousand, one hundred fifty-two".