481653322920 has 768 divisors, whose sum is σ = 2037305088000. Its totient is φ = 99422069760.

The previous prime is 481653322901. The next prime is 481653322951. The reversal of 481653322920 is 29223356184.

481653322920 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 533 + 22 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 117503031 + ... + 117507129.

It is an arithmetic number, because the mean of its divisors is an integer number (2652741000).

Almost surely, 2^481653322920 is an apocalyptic number.

481653322920 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 481653322920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018652544000).

481653322920 is an abundant number, since it is smaller than the sum of its proper divisors (1555651765080).

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

481653322920 is a wasteful number, since it uses less digits than its factorization.

481653322920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 481653322920 in words is "four hundred eighty-one billion, six hundred fifty-three million, three hundred twenty-two thousand, nine hundred twenty".