1901809096704 has 1152 divisors, whose sum is σ = 6697585440000. Its totient is φ = 527284961280.

The previous prime is 1901809096703. The next prime is 1901809096739. The reversal of 1901809096704 is 4076909081091.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901809096703) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21368641492 + ... + 21368641580.

It is an arithmetic number, because the mean of its divisors is an integer number (5813876250).

Almost surely, 2^{1901809096704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1901809096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348792720000).

1901809096704 is an abundant number, since it is smaller than the sum of its proper divisors (4795776343296).

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

1901809096704 is a wasteful number, since it uses less digits than its factorization.

1901809096704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1901809096704 in words is "one trillion, nine hundred one billion, eight hundred nine million, ninety-six thousand, seven hundred four".