187314978816 has 480 divisors, whose sum is σ = 639444072960. Its totient is φ = 53084160000.

The previous prime is 187314978769. The next prime is 187314978833. The reversal of 187314978816 is 618879413781.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (16257024) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746274691 + ... + 746274941.

It is an arithmetic number, because the mean of its divisors is an integer number (1332175152).

Almost surely, 2^187314978816 is an apocalyptic number.

187314978816 is a gapful number since it is divisible by the number (16) 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 187314978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319722036480).

187314978816 is an abundant number, since it is smaller than the sum of its proper divisors (452129094144).

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

187314978816 is an equidigital number, since it uses as much as digits as its factorization.

187314978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 504 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The spelling of 187314978816 in words is "one hundred eighty-seven billion, three hundred fourteen million, nine hundred seventy-eight thousand, eight hundred sixteen".