64018292554656 has 144 divisors (see below), whose sum is σ = 202349414947680. Its totient is φ = 19033454568960.

The previous prime is 64018292554651. The next prime is 64018292554681. The reversal of 64018292554656 is 65645529281046.

64018292554656 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 8 + 29 + 2 + 554 + 6 + 56 = 666.

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

It is a super-2 number, since 2×64018292554656² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64018292554593 and 64018292554602.

It is not an unprimeable number, because it can be changed into a prime (64018292554651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190471666 + ... + 190807473.

It is an arithmetic number, because the mean of its divisors is an integer number (1405204270470).

Almost surely, 2^{64018292554656} is an apocalyptic number.

64018292554656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

64018292554656 is an abundant number, since it is smaller than the sum of its proper divisors (138331122393024).

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

64018292554656 is a wasteful number, since it uses less digits than its factorization.

64018292554656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381279219 (or 381279208 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 64018292554656 in words is "sixty-four trillion, eighteen billion, two hundred ninety-two million, five hundred fifty-four thousand, six hundred fifty-six".