11632751992944 has 480 divisors, whose sum is σ = 34806776509440. Its totient is φ = 3621449115648.

The previous prime is 11632751992937. The next prime is 11632751992951. The reversal of 11632751992944 is 44929915723611.

11632751992944 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 27 + 519 + 9 + 2 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11632751992937) and next prime (11632751992951).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10002365707 + ... + 10002366869.

It is an arithmetic number, because the mean of its divisors is an integer number (72514117728).

Almost surely, 2^{11632751992944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11632751992944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403388254720).

11632751992944 is an abundant number, since it is smaller than the sum of its proper divisors (23174024516496).

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

11632751992944 is a wasteful number, since it uses less digits than its factorization.

11632751992944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1988 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 11632751992944 in words is "eleven trillion, six hundred thirty-two billion, seven hundred fifty-one million, nine hundred ninety-two thousand, nine hundred forty-four".