481725918863616 has 1152 divisors, whose sum is σ = 1610288709120000. Its totient is φ = 124736893747200.

The previous prime is 481725918863603. The next prime is 481725918863621. The reversal of 481725918863616 is 616368819527184.

It is a happy number.

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, 288631466430 + ... + 288631468098.

It is an arithmetic number, because the mean of its divisors is an integer number (1397820060000).

Almost surely, 2^{481725918863616} 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 481725918863616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805144354560000).

481725918863616 is an abundant number, since it is smaller than the sum of its proper divisors (1128562790256384).

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

481725918863616 is a wasteful number, since it uses less digits than its factorization.

481725918863616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2569 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 75.

The spelling of 481725918863616 in words is "four hundred eighty-one trillion, seven hundred twenty-five billion, nine hundred eighteen million, eight hundred sixty-three thousand, six hundred sixteen".