1146530101941 has 144 divisors (see below), whose sum is σ = 2132161035264. Its totient is φ = 588795153408.

The previous prime is 1146530101931. The next prime is 1146530101967. The reversal of 1146530101941 is 1491010356411.

It is a happy number.

1146530101941 is a `hidden beast` number, since 1 + 1 + 465 + 3 + 0 + 1 + 0 + 194 + 1 = 666.

It is not a de Polignac number, because 1146530101941 - 2⁶ = 1146530101877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1146530101896 and 1146530101905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146530101931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105694780 + ... + 105705626.

It is an arithmetic number, because the mean of its divisors is an integer number (14806673856).

Almost surely, 2^{1146530101941} is an apocalyptic number.

It is an amenable number.

1146530101941 is a deficient number, since it is larger than the sum of its proper divisors (985630933323).

1146530101941 is a wasteful number, since it uses less digits than its factorization.

1146530101941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1146530101941 in words is "one trillion, one hundred forty-six billion, five hundred thirty million, one hundred one thousand, nine hundred forty-one".