10146881627007 has 8 divisors (see below), whose sum is σ = 13562914096560. Its totient is φ = 6747718454400.

The previous prime is 10146881626963. The next prime is 10146881627021. The reversal of 10146881627007 is 70072618864101.

10146881627007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10146881627007 - 2⁶ = 10146881626943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146881627027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4217322832 + ... + 4217325237.

It is an arithmetic number, because the mean of its divisors is an integer number (1695364262070).

Almost surely, 2^{10146881627007} is an apocalyptic number.

10146881627007 is a deficient number, since it is larger than the sum of its proper divisors (3416032469553).

10146881627007 is an equidigital number, since it uses as much as digits as its factorization.

10146881627007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434648473.

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 10146881627007 in words is "ten trillion, one hundred forty-six billion, eight hundred eighty-one million, six hundred twenty-seven thousand, seven".