1461768049296 has 135 divisors (see below), whose sum is σ = 4171758348667. Its totient is φ = 477811027200.

The previous prime is 1461768049289. The next prime is 1461768049303. The reversal of 1461768049296 is 6929408671641.

The square root of 1461768049296 is 1209036.

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

1461768049296 is a `hidden beast` number, since 1 + 4 + 61 + 7 + 6 + 80 + 492 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1461768049289) and next prime (1461768049303).

It can be written as a sum of positive squares in 4 ways, for example, as 99262803600 + 1362505245696 = 315060^2 + 1167264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 768945946 + ... + 768947846.

Almost surely, 2^{1461768049296} is an apocalyptic number.

1461768049296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1461768049296 is the 1209036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461768049296

1461768049296 is an abundant number, since it is smaller than the sum of its proper divisors (2709990299371).

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

1461768049296 is an frugal number, since it uses more digits than its factorization.

1461768049296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1461768049296 in words is "one trillion, four hundred sixty-one billion, seven hundred sixty-eight million, forty-nine thousand, two hundred ninety-six".