1481642282106 has 384 divisors, whose sum is σ = 4022182656000. Its totient is φ = 407655400320.

The previous prime is 1481642282089. The next prime is 1481642282119. The reversal of 1481642282106 is 6012822461841.

1481642282106 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 6 + 422 + 8 + 210 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1787264100 + ... + 1787264928.

It is an arithmetic number, because the mean of its divisors is an integer number (10474434000).

Almost surely, 2^{1481642282106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481642282106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011091328000).

1481642282106 is an abundant number, since it is smaller than the sum of its proper divisors (2540540373894).

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

1481642282106 is an equidigital number, since it uses as much as digits as its factorization.

1481642282106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1481642282106 in words is "one trillion, four hundred eighty-one billion, six hundred forty-two million, two hundred eighty-two thousand, one hundred six".