1006146435672 has 72 divisors (see below), whose sum is σ = 3169874623500. Its totient is φ = 287470409184.

The previous prime is 1006146435653. The next prime is 1006146435673. The reversal of 1006146435672 is 2765346416001.

1006146435672 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 46 + 43 + 567 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006146435673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142590922 + ... + 142597977.

Almost surely, 2^{1006146435672} is an apocalyptic number.

1006146435672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006146435672 is an abundant number, since it is smaller than the sum of its proper divisors (2163728187828).

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

1006146435672 is a wasteful number, since it uses less digits than its factorization.

1006146435672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285188925 (or 285188911 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1006146435672 in words is "one trillion, six billion, one hundred forty-six million, four hundred thirty-five thousand, six hundred seventy-two".