3611466948996 has 135 divisors (see below), whose sum is σ = 9582378009127. Its totient is φ = 1186068910320.

The previous prime is 3611466948989. The next prime is 3611466949019. The reversal of 3611466948996 is 6998496641163.

The square root of 3611466948996 is 1900386.

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

3611466948996 is a `hidden beast` number, since 3 + 6 + 11 + 46 + 6 + 9 + 489 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2428692565 + ... + 2428694051.

Almost surely, 2^{3611466948996} is an apocalyptic number.

3611466948996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3611466948996 is the 1900386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3611466948996

3611466948996 is an abundant number, since it is smaller than the sum of its proper divisors (5970911060131).

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

3611466948996 is an frugal number, since it uses more digits than its factorization.

3611466948996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 1563 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 3611466948996 in words is "three trillion, six hundred eleven billion, four hundred sixty-six million, nine hundred forty-eight thousand, nine hundred ninety-six".