1481618364480 has 1792 divisors, whose sum is σ = 6238168473600. Its totient is φ = 328166277120.

The previous prime is 1481618364451. The next prime is 1481618364529. The reversal of 1481618364480 is 844638161841.

1481618364480 is a `hidden beast` number, since 1 + 4 + 8 + 16 + 183 + 6 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2631648679 + ... + 2631649241.

It is an arithmetic number, because the mean of its divisors is an integer number (3481120800).

Almost surely, 2^{1481618364480} is an apocalyptic number.

1481618364480 is a gapful number since it is divisible by the number (10) 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 1481618364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119084236800).

1481618364480 is an abundant number, since it is smaller than the sum of its proper divisors (4756550109120).

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

1481618364480 is a wasteful number, since it uses less digits than its factorization.

1481618364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1481618364480 in words is "one trillion, four hundred eighty-one billion, six hundred eighteen million, three hundred sixty-four thousand, four hundred eighty".