2004600073921 has 9 divisors (see below), whose sum is σ = 2015107744099. Its totient is φ = 1994146934584.

The previous prime is 2004600073837. The next prime is 2004600073933. The reversal of 2004600073921 is 1293700064002.

The square root of 2004600073921 is 1415839.

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., 1964104146225 + 40495927696 = 1401465^2 + 201236^2 .

It is not a de Polignac number, because 2004600073921 - 2¹⁵ = 2004600041153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004600073961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 278916690 + ... + 278923876.

Almost surely, 2^{2004600073921} is an apocalyptic number.

2004600073921 is the 1415839-th square number.

2004600073921 is the 707920-th centered octagonal number.

It is an amenable number.

2004600073921 is a deficient number, since it is larger than the sum of its proper divisors (10507670178).

2004600073921 is an frugal number, since it uses more digits than its factorization.

2004600073921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14768 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 2004600073921 in words is "two trillion, four billion, six hundred million, seventy-three thousand, nine hundred twenty-one".