1854368509504 has 63 divisors (see below), whose sum is σ = 4280716101873. Its totient is φ = 794696679168.

The previous prime is 1854368509489. The next prime is 1854368509531. The reversal of 1854368509504 is 4059058634581.

It is a happy number.

The square root of 1854368509504 is 1361752.

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

It can be written as a sum of positive squares in only one way, i.e., 1265085057600 + 589283451904 = 1124760^2 + 767648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76245954 + ... + 76270270.

Almost surely, 2^{1854368509504} is an apocalyptic number.

1854368509504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1854368509504 is the 1361752-nd square number.

It is an amenable number.

1854368509504 is an abundant number, since it is smaller than the sum of its proper divisors (2426347592369).

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

1854368509504 is an frugal number, since it uses more digits than its factorization.

1854368509504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48660 (or 24326 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 58.

The spelling of 1854368509504 in words is "one trillion, eight hundred fifty-four billion, three hundred sixty-eight million, five hundred nine thousand, five hundred four".