1897087513104 has 405 divisors, whose sum is σ = 6525743479983. Its totient is φ = 512902357632.

The previous prime is 1897087513099. The next prime is 1897087513129. The reversal of 1897087513104 is 4013157807981.

The square root of 1897087513104 is 1377348.

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

1897087513104 is a `hidden beast` number, since 18 + 9 + 7 + 0 + 8 + 7 + 513 + 104 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2198246977 + ... + 2198247839.

Almost surely, 2^{1897087513104} is an apocalyptic number.

1897087513104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1897087513104 is the 1377348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1897087513104

1897087513104 is an abundant number, since it is smaller than the sum of its proper divisors (4628655966879).

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

1897087513104 is an equidigital number, since it uses as much as digits as its factorization.

1897087513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 1897087513104 in words is "one trillion, eight hundred ninety-seven billion, eighty-seven million, five hundred thirteen thousand, one hundred four".