471554406400112 has 240 divisors, whose sum is σ = 1077061773634560. Its totient is φ = 199397959488000.

The previous prime is 471554406400081. The next prime is 471554406400141. The reversal of 471554406400112 is 211004604455174.

It is a super-2 number, since 2×471554406400112² (a number of 30 digits) contains 22 as substring.

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, 43910452439 + ... + 43910463177.

It is an arithmetic number, because the mean of its divisors is an integer number (4487757390144).

Almost surely, 2^{471554406400112} 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 471554406400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538530886817280).

471554406400112 is an abundant number, since it is smaller than the sum of its proper divisors (605507367234448).

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

471554406400112 is a wasteful number, since it uses less digits than its factorization.

471554406400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740 (or 12727 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 471554406400112 in words is "four hundred seventy-one trillion, five hundred fifty-four billion, four hundred six million, four hundred thousand, one hundred twelve".