188734513968 has 1800 divisors, whose sum is σ = 803423149056. Its totient is φ = 41486515200.

The previous prime is 188734513963. The next prime is 188734513969. The reversal of 188734513968 is 869315437881.

188734513968 is a `hidden beast` number, since 1 + 8 + 87 + 34 + 513 + 9 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (188734513963) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6088210113 + ... + 6088210143.

Almost surely, 2^188734513968 is an apocalyptic number.

188734513968 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 188734513968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401711574528).

188734513968 is an abundant number, since it is smaller than the sum of its proper divisors (614688635088).

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

188734513968 is a wasteful number, since it uses less digits than its factorization.

188734513968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 86 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 188734513968 in words is "one hundred eighty-eight billion, seven hundred thirty-four million, five hundred thirteen thousand, nine hundred sixty-eight".