187853832936484 has 243 divisors, whose sum is σ = 415798946859891. Its totient is φ = 74157016327680.

The previous prime is 187853832936481. The next prime is 187853832936487. The reversal of 187853832936484 is 484639238358781.

The square root of 187853832936484 is 13705978.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (187853832936481) and next prime (187853832936487).

It can be written as a sum of positive squares in 4 ways, for example, as 1696188454884 + 186157644481600 = 1302378^2 + 13643960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (187853832936481) 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 80 ways as a sum of consecutive naturals, for example, 66638463627 + ... + 66638466445.

Almost surely, 2^{187853832936484} is an apocalyptic number.

187853832936484 is the 13705978-th square number.

It is an amenable number.

187853832936484 is an abundant number, since it is smaller than the sum of its proper divisors (227945113923407).

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

187853832936484 is a wasteful number, since it uses less digits than its factorization.

187853832936484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 2862 counting only the distinct ones).

The product of its digits is 6688604160, while the sum is 79.

The spelling of 187853832936484 in words is "one hundred eighty-seven trillion, eight hundred fifty-three billion, eight hundred thirty-two million, nine hundred thirty-six thousand, four hundred eighty-four".