481651115692032 has 3120 divisors, whose sum is σ = 1766906386094080. Its totient is φ = 130558208901120.

The previous prime is 481651115691961. The next prime is 481651115692049. The reversal of 481651115692032 is 230296511156184.

481651115692032 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 51 + 1 + 1 + 569 + 20 + 3 + 2 = 666.

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 481651115692032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3792528469953 + ... + 3792528470079.

Almost surely, 2^{481651115692032} 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 481651115692032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883453193047040).

481651115692032 is an abundant number, since it is smaller than the sum of its proper divisors (1285255270402048).

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

481651115692032 is a wasteful number, since it uses less digits than its factorization.

481651115692032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 481651115692032 in words is "four hundred eighty-one trillion, six hundred fifty-one billion, one hundred fifteen million, six hundred ninety-two thousand, thirty-two".