1904377920064 has 189 divisors, whose sum is σ = 4099606911387. Its totient is φ = 877542432768.

The previous prime is 1904377920043. The next prime is 1904377920119. The reversal of 1904377920064 is 4600297734091.

The square root of 1904377920064 is 1379992.

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

It can be written as a sum of positive squares in 4 ways, for example, as 240484313664 + 1663893606400 = 490392^2 + 1289920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1904377919993 and 1904377920020.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13700560507 + ... + 13700560645.

Almost surely, 2^{1904377920064} is an apocalyptic number.

1904377920064 is the 1379992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1904377920064

1904377920064 is an abundant number, since it is smaller than the sum of its proper divisors (2195228991323).

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

1904377920064 is an frugal number, since it uses more digits than its factorization.

1904377920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 1904377920064 in words is "one trillion, nine hundred four billion, three hundred seventy-seven million, nine hundred twenty thousand, sixty-four".