1481801736624 has 120 divisors (see below), whose sum is σ = 4208155254576. Its totient is φ = 448974028800.

The previous prime is 1481801736617. The next prime is 1481801736647. The reversal of 1481801736624 is 4266371081841.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80379312 + ... + 80397744.

Almost surely, 2^{1481801736624} 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 1481801736624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104077627288).

1481801736624 is an abundant number, since it is smaller than the sum of its proper divisors (2726353517952).

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

1481801736624 is a wasteful number, since it uses less digits than its factorization.

1481801736624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32307 (or 32290 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 1481801736624 in words is "one trillion, four hundred eighty-one billion, eight hundred one million, seven hundred thirty-six thousand, six hundred twenty-four".