10146881627008 has 128 divisors (see below), whose sum is σ = 24922767165120. Its totient is φ = 4015635726336.

The previous prime is 10146881626963. The next prime is 10146881627021. The reversal of 10146881627008 is 80072618864101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5477191 + ... + 7091782.

Almost surely, 2^{10146881627008} is an apocalyptic number.

It is an amenable number.

10146881627008 is an abundant number, since it is smaller than the sum of its proper divisors (14775885538112).

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

10146881627008 is a wasteful number, since it uses less digits than its factorization.

10146881627008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12569064 (or 12569052 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The spelling of 10146881627008 in words is "ten trillion, one hundred forty-six billion, eight hundred eighty-one million, six hundred twenty-seven thousand, eight".