1678454984704 has 117 divisors (see below), whose sum is σ = 3473586521769. Its totient is φ = 810911907840.

The previous prime is 1678454984693. The next prime is 1678454984747. The reversal of 1678454984704 is 4074894548761.

The square root of 1678454984704 is 1295552.

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., 390575001600 + 1287879983104 = 624960^2 + 1134848^2 .

It is a super-2 number, since 2×1678454984704² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1678454984704.

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, 2570374842 + ... + 2570375494.

Almost surely, 2^{1678454984704} is an apocalyptic number.

1678454984704 is the 1295552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1678454984704

1678454984704 is an abundant number, since it is smaller than the sum of its proper divisors (1795131537065).

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

1678454984704 is an frugal number, since it uses more digits than its factorization.

1678454984704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 67.

The spelling of 1678454984704 in words is "one trillion, six hundred seventy-eight billion, four hundred fifty-four million, nine hundred eighty-four thousand, seven hundred four".