1746049479072 has 96 divisors (see below), whose sum is σ = 4662112855680. Its totient is φ = 572033387520.

The previous prime is 1746049479067. The next prime is 1746049479091. The reversal of 1746049479072 is 2709749406471.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1746049478997 and 1746049479015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7515954 + ... + 7744782.

It is an arithmetic number, because the mean of its divisors is an integer number (48563675580).

Almost surely, 2^{1746049479072} is an apocalyptic number.

1746049479072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1746049479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331056427840).

1746049479072 is an abundant number, since it is smaller than the sum of its proper divisors (2916063376608).

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

1746049479072 is a wasteful number, since it uses less digits than its factorization.

1746049479072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230206 (or 230198 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 1746049479072 in words is "one trillion, seven hundred forty-six billion, forty-nine million, four hundred seventy-nine thousand, seventy-two".