481912898688 has 384 divisors, whose sum is σ = 1523176200000. Its totient is φ = 145342439424.

The previous prime is 481912898647. The next prime is 481912898723. The reversal of 481912898688 is 886898219184.

481912898688 is a `hidden beast` number, since 4 + 8 + 191 + 289 + 86 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440907870 + ... + 440908962.

Almost surely, 2^481912898688 is an apocalyptic number.

481912898688 is a gapful number since it is divisible by the number (48) 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 481912898688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761588100000).

481912898688 is an abundant number, since it is smaller than the sum of its proper divisors (1041263301312).

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

481912898688 is a wasteful number, since it uses less digits than its factorization.

481912898688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1669 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 72.

The spelling of 481912898688 in words is "four hundred eighty-one billion, nine hundred twelve million, eight hundred ninety-eight thousand, six hundred eighty-eight".