187745423616 has 567 divisors, whose sum is σ = 607163092501. Its totient is φ = 57902211072.

The previous prime is 187745423587. The next prime is 187745423617. The reversal of 187745423616 is 616324547781.

The square root of 187745423616 is 433296.

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

187745423616 is a `hidden beast` number, since 1 + 87 + 7 + 4 + 542 + 3 + 6 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146168582400 + 41576841216 = 382320^2 + 203904^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (187745423617) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3182125795 + ... + 3182125853.

Almost surely, 2^187745423616 is an apocalyptic number.

187745423616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

187745423616 is the 433296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187745423616

187745423616 is an abundant number, since it is smaller than the sum of its proper divisors (419417668885).

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

187745423616 is an frugal number, since it uses more digits than its factorization.

187745423616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 81 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 187745423616 in words is "one hundred eighty-seven billion, seven hundred forty-five million, four hundred twenty-three thousand, six hundred sixteen".