191388507643872 has 576 divisors, whose sum is σ = 689955150044160. Its totient is φ = 48877079961600.

The previous prime is 191388507643831. The next prime is 191388507643981. The reversal of 191388507643872 is 278346705883191.

191388507643872 is a `hidden beast` number, since 1 + 9 + 1 + 3 + 8 + 8 + 50 + 76 + 438 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 191388507643872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3602309404 + ... + 3602362532.

It is an arithmetic number, because the mean of its divisors is an integer number (1197838802160).

It is a 1-persistent number, because it is pandigital, but 2⋅191388507643872 = 382777015287744 is not.

Almost surely, 2^{191388507643872} is an apocalyptic number.

191388507643872 is a gapful number since it is divisible by the number (12) 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 191388507643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344977575022080).

191388507643872 is an abundant number, since it is smaller than the sum of its proper divisors (498566642400288).

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

191388507643872 is a wasteful number, since it uses less digits than its factorization.

191388507643872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55887 (or 55876 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 191388507643872 in words is "one hundred ninety-one trillion, three hundred eighty-eight billion, five hundred seven million, six hundred forty-three thousand, eight hundred seventy-two".