187115858961408 has 2112 divisors, whose sum is σ = 680665814599680. Its totient is φ = 48845920665600.

The previous prime is 187115858961397. The next prime is 187115858961431. The reversal of 187115858961408 is 804169858511781.

187115858961408 is a `hidden beast` number, since 1 + 8 + 7 + 1 + 1 + 5 + 85 + 89 + 61 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73177886466 + ... + 73177889022.

Almost surely, 2^{187115858961408} is an apocalyptic number.

187115858961408 is a gapful number since it is divisible by the number (18) 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 187115858961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340332907299840).

187115858961408 is an abundant number, since it is smaller than the sum of its proper divisors (493549955638272).

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

187115858961408 is a wasteful number, since it uses less digits than its factorization.

187115858961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 72.

The spelling of 187115858961408 in words is "one hundred eighty-seven trillion, one hundred fifteen billion, eight hundred fifty-eight million, nine hundred sixty-one thousand, four hundred eight".