1610990485504 has 171 divisors, whose sum is σ = 3361570433613. Its totient is φ = 772027711488.

The previous prime is 1610990485477. The next prime is 1610990485591. The reversal of 1610990485504 is 4055840990161.

The square root of 1610990485504 is 1269248.

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., 1441536409600 + 169454075904 = 1200640^2 + 411648^2 .

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, 24044634079 + ... + 24044634145.

Almost surely, 2^{1610990485504} is an apocalyptic number.

1610990485504 is the 1269248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610990485504

1610990485504 is an abundant number, since it is smaller than the sum of its proper divisors (1750579948109).

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

1610990485504 is an frugal number, since it uses more digits than its factorization.

1610990485504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 1610990485504 in words is "one trillion, six hundred ten billion, nine hundred ninety million, four hundred eighty-five thousand, five hundred four".