64111450464 has 288 divisors, whose sum is σ = 203729722560. Its totient is φ = 19019759616.

The previous prime is 64111450439. The next prime is 64111450483. The reversal of 64111450464 is 46405411146.

64111450464 is a `hidden beast` number, since 641 + 1 + 1 + 4 + 5 + 0 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×64111450464² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10018914 + ... + 10025310.

It is an arithmetic number, because the mean of its divisors is an integer number (707394870).

Almost surely, 2^64111450464 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 64111450464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101864861280).

64111450464 is an abundant number, since it is smaller than the sum of its proper divisors (139618272096).

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

64111450464 is a wasteful number, since it uses less digits than its factorization.

64111450464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 64111450464 in words is "sixty-four billion, one hundred eleven million, four hundred fifty thousand, four hundred sixty-four".