481148873466624 has 1152 divisors, whose sum is σ = 1650979130572800. Its totient is φ = 136687757230080.

The previous prime is 481148873466601. The next prime is 481148873466637. The reversal of 481148873466624 is 426664378841184.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121287841089 + ... + 121287845055.

It is an arithmetic number, because the mean of its divisors is an integer number (1433141606400).

Almost surely, 2^{481148873466624} is an apocalyptic number.

481148873466624 is a gapful number since it is divisible by the number (44) 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 481148873466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825489565286400).

481148873466624 is an abundant number, since it is smaller than the sum of its proper divisors (1169830257106176).

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

481148873466624 is a wasteful number, since it uses less digits than its factorization.

481148873466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4858 counting only the distinct ones).

The product of its digits is 1189085184, while the sum is 72.

The spelling of 481148873466624 in words is "four hundred eighty-one trillion, one hundred forty-eight billion, eight hundred seventy-three million, four hundred sixty-six thousand, six hundred twenty-four".