11945006719170 has 96 divisors (see below), whose sum is σ = 33572324664000. Its totient is φ = 2711963124864.

The previous prime is 11945006719147. The next prime is 11945006719171. The reversal of 11945006719170 is 7191760054911.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11945006719171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27048940 + ... + 27486999.

It is an arithmetic number, because the mean of its divisors is an integer number (349711715250).

Almost surely, 2^{11945006719170} is an apocalyptic number.

11945006719170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11945006719170 is an abundant number, since it is smaller than the sum of its proper divisors (21627317944830).

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

11945006719170 is a wasteful number, since it uses less digits than its factorization.

11945006719170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54536112 (or 54536105 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 51.

The spelling of 11945006719170 in words is "eleven trillion, nine hundred forty-five billion, six million, seven hundred nineteen thousand, one hundred seventy".