64113456 has 80 divisors (see below), whose sum is σ = 186559488. Its totient is φ = 18796800.

The previous prime is 64113419. The next prime is 64113457. The reversal of 64113456 is 65431146.

It is a super-3 number, since 3×64113456³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (64113457) 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, 14410 + ... + 18326.

Almost surely, 2^64113456 is an apocalyptic number.

64113456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64113456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93279744).

64113456 is an abundant number, since it is smaller than the sum of its proper divisors (122446032).

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

64113456 is a wasteful number, since it uses less digits than its factorization.

64113456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3964 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 64113456 is about 8007.0878601399. The cubic root of 64113456 is about 400.2362271311.

The spelling of 64113456 in words is "sixty-four million, one hundred thirteen thousand, four hundred fifty-six".