11610068649984 has 1344 divisors, whose sum is σ = 42624271872000. Its totient is φ = 3086193623040.

The previous prime is 11610068649967. The next prime is 11610068650001. The reversal of 11610068649984 is 48994686001611.

11610068649984 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 0 + 0 + 68 + 6 + 499 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (11610068649967) and next prime (11610068650001).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11715507729 + ... + 11715508719.

It is an arithmetic number, because the mean of its divisors is an integer number (31714488000).

Almost surely, 2^{11610068649984} is an apocalyptic number.

11610068649984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11610068649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312135936000).

11610068649984 is an abundant number, since it is smaller than the sum of its proper divisors (31014203222016).

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

11610068649984 is an frugal number, since it uses more digits than its factorization.

11610068649984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 11610068649984 in words is "eleven trillion, six hundred ten billion, sixty-eight million, six hundred forty-nine thousand, nine hundred eighty-four".