471414451544064 has 2352 divisors, whose sum is σ = 1713300721825536. Its totient is φ = 129123503308800.

The previous prime is 471414451544051. The next prime is 471414451544093. The reversal of 471414451544064 is 460445154414174.

471414451544064 is a `hidden beast` number, since 4 + 7 + 1 + 4 + 1 + 44 + 51 + 544 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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

It is a self number, because there is not a number n which added to its sum of digits gives 471414451544064.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1424212844379 + ... + 1424212844709.

Almost surely, 2^{471414451544064} 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 471414451544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856650360912768).

471414451544064 is an abundant number, since it is smaller than the sum of its proper divisors (1241886270281472).

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

471414451544064 is an equidigital number, since it uses as much as digits as its factorization.

471414451544064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 471414451544064 in words is "four hundred seventy-one trillion, four hundred fourteen billion, four hundred fifty-one million, five hundred forty-four thousand, sixty-four".