1897814016 has 192 divisors, whose sum is σ = 6426201600. Its totient is φ = 542121984.

The previous prime is 1897814011. The next prime is 1897814041. The reversal of 1897814016 is 6104187981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1897814011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384621 + ... + 389523.

It is an arithmetic number, because the mean of its divisors is an integer number (33469800).

Almost surely, 2^1897814016 is an apocalyptic number.

1897814016 is a gapful number since it is divisible by the number (16) 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 1897814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213100800).

1897814016 is an abundant number, since it is smaller than the sum of its proper divisors (4528387584).

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

1897814016 is an equidigital number, since it uses as much as digits as its factorization.

1897814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1897814016 is about 43563.9072627789. The cubic root of 1897814016 is about 1238.0871513085.

The spelling of 1897814016 in words is "one billion, eight hundred ninety-seven million, eight hundred fourteen thousand, sixteen".