11936551898016 has 216 divisors, whose sum is σ = 36649906966764. Its totient is φ = 3683408855040.

The previous prime is 11936551897973. The next prime is 11936551898021. The reversal of 11936551898016 is 61089815563911.

11936551898016 is a `hidden beast` number, since 1 + 1 + 9 + 36 + 5 + 518 + 9 + 80 + 1 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5506249971600 + 6430301926416 = 2346540^2 + 2535804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3901636 + ... + 6252668.

Almost surely, 2^{11936551898016} is an apocalyptic number.

11936551898016 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 11936551898016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324953483382).

11936551898016 is an abundant number, since it is smaller than the sum of its proper divisors (24713355068748).

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

11936551898016 is a wasteful number, since it uses less digits than its factorization.

11936551898016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351144 (or 2351116 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 11936551898016 in words is "eleven trillion, nine hundred thirty-six billion, five hundred fifty-one million, eight hundred ninety-eight thousand, sixteen".