1849688064 has 207 divisors, whose sum is σ = 6215957787. Its totient is φ = 528482304.

The previous prime is 1849688047. The next prime is 1849688081. The reversal of 1849688064 is 4608869481.

The square root of 1849688064 is 43008.

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

1849688064 is a `hidden beast` number, since 18 + 496 + 8 + 80 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1849688047) and next prime (1849688081).

It is a self number, because there is not a number n which added to its sum of digits gives 1849688064.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 264241149 + ... + 264241155.

Almost surely, 2^1849688064 is an apocalyptic number.

1849688064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1849688064 is the 43008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1849688064

1849688064 is an abundant number, since it is smaller than the sum of its proper divisors (4366269723).

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

1849688064 is an frugal number, since it uses more digits than its factorization.

1849688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The cubic root of 1849688064 is about 1227.5320253852.

The spelling of 1849688064 in words is "one billion, eight hundred forty-nine million, six hundred eighty-eight thousand, sixty-four".