1909151473152 has 640 divisors, whose sum is σ = 6584492851200. Its totient is φ = 477042278400.

The previous prime is 1909151473129. The next prime is 1909151473171. The reversal of 1909151473152 is 2513741519091.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656289874 + ... + 656292782.

It is an arithmetic number, because the mean of its divisors is an integer number (10288270080).

Almost surely, 2^{1909151473152} is an apocalyptic number.

1909151473152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1909151473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292246425600).

1909151473152 is an abundant number, since it is smaller than the sum of its proper divisors (4675341378048).

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

1909151473152 is a wasteful number, since it uses less digits than its factorization.

1909151473152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 48.

The spelling of 1909151473152 in words is "one trillion, nine hundred nine billion, one hundred fifty-one million, four hundred seventy-three thousand, one hundred fifty-two".