1701725468004 has 81 divisors (see below), whose sum is σ = 4540295490003. Its totient is φ = 537340027824.

The previous prime is 1701725467963. The next prime is 1701725468033. The reversal of 1701725468004 is 4008645271071.

The square root of 1701725468004 is 1304502.

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

1701725468004 is a `hidden beast` number, since 17 + 0 + 17 + 2 + 546 + 80 + 0 + 4 = 666.

It is a super-4 number, since 4×1701725468004⁴ (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148707507 + ... + 148718949.

Almost surely, 2^{1701725468004} is an apocalyptic number.

1701725468004 is the 1304502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1701725468004

1701725468004 is an abundant number, since it is smaller than the sum of its proper divisors (2838570021999).

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

1701725468004 is an equidigital number, since it uses as much as digits as its factorization.

1701725468004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22934 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

It can be divided in two parts, 1701725 and 468004, that added together give a square (2169729 = 1473²).

The spelling of 1701725468004 in words is "one trillion, seven hundred one billion, seven hundred twenty-five million, four hundred sixty-eight thousand, four".