481964280192 has 512 divisors, whose sum is σ = 1521900057600. Its totient is φ = 149817507840.

The previous prime is 481964280181. The next prime is 481964280211. The reversal of 481964280192 is 291082469184.

It is a happy number.

481964280192 is a `hidden beast` number, since 48 + 1 + 96 + 428 + 0 + 1 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 981597067 + ... + 981597557.

It is an arithmetic number, because the mean of its divisors is an integer number (2972461050).

Almost surely, 2^481964280192 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 481964280192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760950028800).

481964280192 is an abundant number, since it is smaller than the sum of its proper divisors (1039935777408).

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

481964280192 is a wasteful number, since it uses less digits than its factorization.

481964280192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 481964280192 in words is "four hundred eighty-one billion, nine hundred sixty-four million, two hundred eighty thousand, one hundred ninety-two".