471138817632 has 192 divisors, whose sum is σ = 1497887645184. Its totient is φ = 126580285440.

The previous prime is 471138817559. The next prime is 471138817679. The reversal of 471138817632 is 236718831174.

471138817632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13268382 + ... + 13303842.

It is an arithmetic number, because the mean of its divisors is an integer number (7801498152).

Almost surely, 2^471138817632 is an apocalyptic number.

471138817632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471138817632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748943822592).

471138817632 is an abundant number, since it is smaller than the sum of its proper divisors (1026748827552).

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

471138817632 is a wasteful number, since it uses less digits than its factorization.

471138817632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36661 (or 36653 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The spelling of 471138817632 in words is "four hundred seventy-one billion, one hundred thirty-eight million, eight hundred seventeen thousand, six hundred thirty-two".