481985013504 has 144 divisors (see below), whose sum is σ = 1307723973920. Its totient is φ = 157553786880.

The previous prime is 481985013493. The next prime is 481985013509. The reversal of 481985013504 is 405310589184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481985013509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15772512 + ... + 15803040.

Almost surely, 2^481985013504 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 481985013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653861986960).

481985013504 is an abundant number, since it is smaller than the sum of its proper divisors (825738960416).

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

481985013504 is a wasteful number, since it uses less digits than its factorization.

481985013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30946 (or 30932 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 481985013504 in words is "four hundred eighty-one billion, nine hundred eighty-five million, thirteen thousand, five hundred four".