64114848 has 96 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 18316800.

The previous prime is 64114847. The next prime is 64114861. The reversal of 64114848 is 84841146.

64114848 is a `hidden beast` number, since 641 + 1 + 4 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×64114848² = 8221427468126208, 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 not an unprimeable number, because it can be changed into a prime (64114847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748 + ... + 11348.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^64114848 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 64114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

64114848 is an abundant number, since it is smaller than the sum of its proper divisors (149621472).

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

64114848 is a wasteful number, since it uses less digits than its factorization.

64114848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10613 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 64114848 is about 8007.1747826559. The cubic root of 64114848 is about 400.2391236878.

The spelling of 64114848 in words is "sixty-four million, one hundred fourteen thousand, eight hundred forty-eight".