1006814463642 has 96 divisors (see below), whose sum is σ = 2426349573648. Its totient is φ = 299780103168.

The previous prime is 1006814463623. The next prime is 1006814463647. The reversal of 1006814463642 is 2463644186001.

1006814463642 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 1 + 4 + 4 + 636 + 4 + 2 = 666.

1006814463642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 494629483401 + 512184980241 = 703299^2 + 715671^2 .

It is not an unprimeable number, because it can be changed into a prime (1006814463647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349308 + ... + 1461384.

Almost surely, 2^{1006814463642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006814463642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213174786824).

1006814463642 is an abundant number, since it is smaller than the sum of its proper divisors (1419535110006).

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

1006814463642 is a wasteful number, since it uses less digits than its factorization.

1006814463642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112224 (or 1112221 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1006814463642 in words is "one trillion, six billion, eight hundred fourteen million, four hundred sixty-three thousand, six hundred forty-two".