11694938112000 has 4800 divisors, whose sum is σ = 56111217402240. Its totient is φ = 2378170368000.

The previous prime is 11694938111981. The next prime is 11694938112037. The reversal of 11694938112000 is 21183949611.

11694938112000 is a `hidden beast` number, since 1 + 1 + 69 + 4 + 9 + 381 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 403273727986 + ... + 403273728014.

Almost surely, 2^{11694938112000} is an apocalyptic number.

11694938112000 is a gapful number since it is divisible by the number (10) 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 11694938112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28055608701120).

11694938112000 is an abundant number, since it is smaller than the sum of its proper divisors (44416279290240).

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

11694938112000 is a wasteful number, since it uses less digits than its factorization.

11694938112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11694938112000 in words is "eleven trillion, six hundred ninety-four billion, nine hundred thirty-eight million, one hundred twelve thousand".