10181674952064 has 1728 divisors, whose sum is σ = 40056827428800. Its totient is φ = 2465900236800.

The previous prime is 10181674952047. The next prime is 10181674952087. The reversal of 10181674952064 is 46025947618101.

10181674952064 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 16 + 7 + 49 + 520 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10181674952064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8694854199 + ... + 8694855369.

Almost surely, 2^{10181674952064} is an apocalyptic number.

10181674952064 is a gapful number since it is divisible by the number (14) 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 10181674952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028413714400).

10181674952064 is an abundant number, since it is smaller than the sum of its proper divisors (29875152476736).

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

10181674952064 is a wasteful number, since it uses less digits than its factorization.

10181674952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10181674952064 in words is "ten trillion, one hundred eighty-one billion, six hundred seventy-four million, nine hundred fifty-two thousand, sixty-four".