11851551618816 has 1728 divisors, whose sum is σ = 43338202177536. Its totient is φ = 2840798822400.

The previous prime is 11851551618743. The next prime is 11851551618817. The reversal of 11851551618816 is 61881615515811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11851551618817) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21277471210 + ... + 21277471766.

It is an arithmetic number, because the mean of its divisors is an integer number (25079978112).

Almost surely, 2^{11851551618816} is an apocalyptic number.

11851551618816 is a gapful number since it is divisible by the number (16) 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 11851551618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669101088768).

11851551618816 is an abundant number, since it is smaller than the sum of its proper divisors (31486650558720).

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

11851551618816 is a wasteful number, since it uses less digits than its factorization.

11851551618816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 697 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 57.

The spelling of 11851551618816 in words is "eleven trillion, eight hundred fifty-one billion, five hundred fifty-one million, six hundred eighteen thousand, eight hundred sixteen".