481887175936320 has 1344 divisors, whose sum is σ = 2103611253719040. Its totient is φ = 98346601267200.

The previous prime is 481887175936303. The next prime is 481887175936363. The reversal of 481887175936320 is 23639571788184.

481887175936320 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 8 + 7 + 1 + 7 + 593 + 6 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3346064634 + ... + 3346208646.

It is a 2-persistent number, because it is pandigital, and so is 2⋅481887175936320 = 963774351872640, but 3⋅481887175936320 = 1445661527808960 is not.

Almost surely, 2^{481887175936320} is an apocalyptic number.

481887175936320 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 481887175936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051805626859520).

481887175936320 is an abundant number, since it is smaller than the sum of its proper divisors (1621724077782720).

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

481887175936320 is a wasteful number, since it uses less digits than its factorization.

481887175936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144324 (or 144311 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 481887175936320 in words is "four hundred eighty-one trillion, eight hundred eighty-seven billion, one hundred seventy-five million, nine hundred thirty-six thousand, three hundred twenty".