11747319048608 has 192 divisors, whose sum is σ = 27380130624000. Its totient is φ = 4891067919360.

The previous prime is 11747319048589. The next prime is 11747319048623. The reversal of 11747319048608 is 80684091374711.

It is a super-3 number, since 3×11747319048608³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491528243 + ... + 491552141.

It is an arithmetic number, because the mean of its divisors is an integer number (142604847000).

Almost surely, 2^{11747319048608} 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 11747319048608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690065312000).

11747319048608 is an abundant number, since it is smaller than the sum of its proper divisors (15632811575392).

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

11747319048608 is a wasteful number, since it uses less digits than its factorization.

11747319048608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24755 (or 24747 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 59.

The spelling of 11747319048608 in words is "eleven trillion, seven hundred forty-seven billion, three hundred nineteen million, forty-eight thousand, six hundred eight".