1801470875904 has 720 divisors, whose sum is σ = 6377516449920. Its totient is φ = 494863810560.

The previous prime is 1801470875861. The next prime is 1801470875917. The reversal of 1801470875904 is 4095780741081.

1801470875904 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 47 + 0 + 8 + 7 + 590 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1182842887 + ... + 1182844409.

It is an arithmetic number, because the mean of its divisors is an integer number (8857661736).

Almost surely, 2^{1801470875904} is an apocalyptic number.

1801470875904 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 1801470875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188758224960).

1801470875904 is an abundant number, since it is smaller than the sum of its proper divisors (4576045574016).

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

1801470875904 is a wasteful number, since it uses less digits than its factorization.

1801470875904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1801470875904 in words is "one trillion, eight hundred one billion, four hundred seventy million, eight hundred seventy-five thousand, nine hundred four".