64143331854336 has 720 divisors, whose sum is σ = 226012599933120. Its totient is φ = 18068381614080.

The previous prime is 64143331854319. The next prime is 64143331854373. The reversal of 64143331854336 is 63345813334146.

64143331854336 is a `hidden beast` number, since 6 + 4 + 1 + 4 + 33 + 31 + 8 + 543 + 36 = 666.

It is a super-2 number, since 2×64143331854336² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 577068781 + ... + 577179923.

It is an arithmetic number, because the mean of its divisors is an integer number (313906388796).

Almost surely, 2^{64143331854336} 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 64143331854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113006299966560).

64143331854336 is an abundant number, since it is smaller than the sum of its proper divisors (161869268078784).

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

64143331854336 is a wasteful number, since it uses less digits than its factorization.

64143331854336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111262 (or 111226 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 64143331854336 in words is "sixty-four trillion, one hundred forty-three billion, three hundred thirty-one million, eight hundred fifty-four thousand, three hundred thirty-six".