187235113616640 has 864 divisors, whose sum is σ = 673676472268800. Its totient is φ = 47954752634880.

The previous prime is 187235113616633. The next prime is 187235113616689. The reversal of 187235113616640 is 46616311532781.

187235113616640 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 3 + 5 + 1 + 13 + 616 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81869309577 + ... + 81869311863.

It is an arithmetic number, because the mean of its divisors is an integer number (779718139200).

Almost surely, 2^{187235113616640} is an apocalyptic number.

187235113616640 is a gapful number since it is divisible by the number (10) 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 187235113616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336838236134400).

187235113616640 is an abundant number, since it is smaller than the sum of its proper divisors (486441358652160).

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

187235113616640 is a wasteful number, since it uses less digits than its factorization.

187235113616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 187235113616640 in words is "one hundred eighty-seven trillion, two hundred thirty-five billion, one hundred thirteen million, six hundred sixteen thousand, six hundred forty".