471198113464320 has 1216 divisors, whose sum is σ = 1857729531271680. Its totient is φ = 112351562956800.

The previous prime is 471198113464313. The next prime is 471198113464367. The reversal of 471198113464320 is 23464311891174.

471198113464320 is a `hidden beast` number, since 4 + 7 + 1 + 1 + 98 + 113 + 4 + 6 + 432 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 23746304319 + ... + 23746324161.

Almost surely, 2^{471198113464320} is an apocalyptic number.

471198113464320 is a gapful number since it is divisible by the number (40) 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 471198113464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928864765635840).

471198113464320 is an abundant number, since it is smaller than the sum of its proper divisors (1386531417807360).

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

471198113464320 is an equidigital number, since it uses as much as digits as its factorization.

471198113464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19965 (or 19925 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 471198113464320 in words is "four hundred seventy-one trillion, one hundred ninety-eight billion, one hundred thirteen million, four hundred sixty-four thousand, three hundred twenty".