11670485041152 has 768 divisors, whose sum is σ = 40708018391040. Its totient is φ = 3151075737600.

The previous prime is 11670485041141. The next prime is 11670485041177. The reversal of 11670485041152 is 25114058407611.

It is a happy number.

11670485041152 is a `hidden beast` number, since 1 + 16 + 7 + 0 + 485 + 0 + 4 + 1 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 11670485041098 and 11670485041107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2751821752 + ... + 2751825992.

It is an arithmetic number, because the mean of its divisors is an integer number (53005232280).

Almost surely, 2^{11670485041152} is an apocalyptic number.

11670485041152 is a gapful number since it is divisible by the number (12) 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 11670485041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354009195520).

11670485041152 is an abundant number, since it is smaller than the sum of its proper divisors (29037533349888).

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

11670485041152 is an equidigital number, since it uses as much as digits as its factorization.

11670485041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 11670485041152 in words is "eleven trillion, six hundred seventy billion, four hundred eighty-five million, forty-one thousand, one hundred fifty-two".