64314121344 has 96 divisors (see below), whose sum is σ = 187776773520. Its totient is φ = 19489113600.

The previous prime is 64314121343. The next prime is 64314121349. The reversal of 64314121344 is 44312141346.

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

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

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 (64314121343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645622 + ... + 738549.

Almost surely, 2^64314121344 is an apocalyptic number.

64314121344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

64314121344 is an abundant number, since it is smaller than the sum of its proper divisors (123462652176).

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

64314121344 is a wasteful number, since it uses less digits than its factorization.

64314121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384210 (or 1384187 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The spelling of 64314121344 in words is "sixty-four billion, three hundred fourteen million, one hundred twenty-one thousand, three hundred forty-four".