1481640918912 has 1536 divisors, whose sum is σ = 5700172308480. Its totient is φ = 361304064000.

The previous prime is 1481640918911. The next prime is 1481640918931. The reversal of 1481640918912 is 2198190461841.

1481640918912 is a `hidden beast` number, since 1 + 48 + 1 + 6 + 409 + 189 + 12 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481640918911) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20296450908 + ... + 20296450980.

It is an arithmetic number, because the mean of its divisors is an integer number (3711049680).

Almost surely, 2^{1481640918912} is an apocalyptic number.

1481640918912 is a gapful number since it is divisible by the number (12) 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 1481640918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850086154240).

1481640918912 is an abundant number, since it is smaller than the sum of its proper divisors (4218531389568).

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

1481640918912 is a wasteful number, since it uses less digits than its factorization.

1481640918912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 1481640918912 in words is "one trillion, four hundred eighty-one billion, six hundred forty million, nine hundred eighteen thousand, nine hundred twelve".