189868215264 has 192 divisors, whose sum is σ = 625940582400. Its totient is φ = 50075020800.

The previous prime is 189868215223. The next prime is 189868215283. The reversal of 189868215264 is 462512868981.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 189868215198 and 189868215207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206289 + ... + 649839.

It is an arithmetic number, because the mean of its divisors is an integer number (3260107200).

Almost surely, 2^189868215264 is an apocalyptic number.

189868215264 is a gapful number since it is divisible by the number (14) 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 189868215264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312970291200).

189868215264 is an abundant number, since it is smaller than the sum of its proper divisors (436072367136).

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

189868215264 is a wasteful number, since it uses less digits than its factorization.

189868215264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443598 (or 443576 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 60.

It can be divided in two parts, 1898682 and 15264, that added together give a triangular number (1913946 = T₁₉₅₆).

The spelling of 189868215264 in words is "one hundred eighty-nine billion, eight hundred sixty-eight million, two hundred fifteen thousand, two hundred sixty-four".