481462788457728 has 2160 divisors, whose sum is σ = 1869500193200640. Its totient is φ = 120492788613120.

The previous prime is 481462788457691. The next prime is 481462788457741. The reversal of 481462788457728 is 827754887264184.

481462788457728 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 62 + 7 + 88 + 457 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 436502980825 + ... + 436502981927.

It is an arithmetic number, because the mean of its divisors is an integer number (865509348704).

Almost surely, 2^{481462788457728} is an apocalyptic number.

481462788457728 is a gapful number since it is divisible by the number (48) 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 481462788457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934750096600320).

481462788457728 is an abundant number, since it is smaller than the sum of its proper divisors (1388037404742912).

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

481462788457728 is a wasteful number, since it uses less digits than its factorization.

481462788457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2012 counting only the distinct ones).

The product of its digits is 10789847040, while the sum is 81.

The spelling of 481462788457728 in words is "four hundred eighty-one trillion, four hundred sixty-two billion, seven hundred eighty-eight million, four hundred fifty-seven thousand, seven hundred twenty-eight".