1749479737041 has 9 divisors (see below), whose sum is σ = 2527032018459. Its totient is φ = 1166317179336.

The previous prime is 1749479737021. The next prime is 1749479737087. The reversal of 1749479737041 is 1407379749471.

The square root of 1749479737041 is 1322679.

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

1749479737041 is a `hidden beast` number, since 1 + 7 + 494 + 7 + 9 + 73 + 70 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 737838050625 + 1011641686416 = 858975^2 + 1005804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1749479737041 - 2¹⁹ = 1749479212753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1749479737041.

It is not an unprimeable number, because it can be changed into a prime (1749479737021) 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, 3747591 + ... + 4188483.

Almost surely, 2^{1749479737041} is an apocalyptic number.

1749479737041 is the 1322679-th square number.

1749479737041 is the 661340-th centered octagonal number.

It is an amenable number.

1749479737041 is a deficient number, since it is larger than the sum of its proper divisors (777552281418).

1749479737041 is an frugal number, since it uses more digits than its factorization.

1749479737041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881792 (or 440896 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 1749479737041 in words is "one trillion, seven hundred forty-nine billion, four hundred seventy-nine million, seven hundred thirty-seven thousand, forty-one".