1466860099600 has 405 divisors, whose sum is σ = 4221935029143. Its totient is φ = 488331648000.

The previous prime is 1466860099583. The next prime is 1466860099697. The reversal of 1466860099600 is 69900686641.

The square root of 1466860099600 is 1211140.

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

It can be written as a sum of positive squares in 4 ways, for example, as 617425063696 + 849435035904 = 785764^2 + 921648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6951943495 + ... + 6951943705.

Almost surely, 2^{1466860099600} is an apocalyptic number.

1466860099600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1466860099600 is the 1211140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1466860099600

1466860099600 is an abundant number, since it is smaller than the sum of its proper divisors (2755074929543).

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

1466860099600 is an equidigital number, since it uses as much as digits as its factorization.

1466860099600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 1466860099600 in words is "one trillion, four hundred sixty-six billion, eight hundred sixty million, ninety-nine thousand, six hundred".