1909146361284 has 288 divisors, whose sum is σ = 5405484564480. Its totient is φ = 587236583808.

The previous prime is 1909146361237. The next prime is 1909146361289. The reversal of 1909146361284 is 4821636419091.

1909146361284 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 14 + 6 + 3 + 612 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1909146361284.

It is not an unprimeable number, because it can be changed into a prime (1909146361289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304146354 + ... + 304152630.

Almost surely, 2^{1909146361284} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1909146361284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702742282240).

1909146361284 is an abundant number, since it is smaller than the sum of its proper divisors (3496338203196).

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

1909146361284 is a wasteful number, since it uses less digits than its factorization.

1909146361284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1909146361284 in words is "one trillion, nine hundred nine billion, one hundred forty-six million, three hundred sixty-one thousand, two hundred eighty-four".