64355101344 has 144 divisors (see below), whose sum is σ = 192192174720. Its totient is φ = 21179957760.

The previous prime is 64355101301. The next prime is 64355101373. The reversal of 64355101344 is 44310155346.

64355101344 is a `hidden beast` number, since 6 + 4 + 3 + 5 + 510 + 134 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64355101299 and 64355101308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561924 + ... + 666684.

It is an arithmetic number, because the mean of its divisors is an integer number (1334667880).

Almost surely, 2^64355101344 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 64355101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096087360).

64355101344 is an abundant number, since it is smaller than the sum of its proper divisors (127837073376).

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

64355101344 is a wasteful number, since it uses less digits than its factorization.

64355101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104865 (or 104845 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 64355101344 in words is "sixty-four billion, three hundred fifty-five million, one hundred one thousand, three hundred forty-four".