64114016 has 36 divisors (see below), whose sum is σ = 129109428. Its totient is φ = 31340352.

The previous prime is 64114013. The next prime is 64114033. The reversal of 64114016 is 61041146.

It is a super-2 number, since 2×64114016² = 8221214095296512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64113982 and 64114000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64114013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70235 + ... + 71141.

It is an arithmetic number, because the mean of its divisors is an integer number (3586373).

Almost surely, 2^64114016 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 64114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64554714).

64114016 is an abundant number, since it is smaller than the sum of its proper divisors (64995412).

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

64114016 is an equidigital number, since it uses as much as digits as its factorization.

64114016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 64114016 is about 8007.1228290816. The cubic root of 64114016 is about 400.2373924176.

The spelling of 64114016 in words is "sixty-four million, one hundred fourteen thousand, sixteen".