10314007849008 has 80 divisors (see below), whose sum is σ = 29634076809600. Its totient is φ = 3434628571200.

The previous prime is 10314007849007. The next prime is 10314007849081. The reversal of 10314007849008 is 80094870041301.

It is a happy number.

10314007849008 is a `hidden beast` number, since 10 + 3 + 140 + 0 + 7 + 8 + 490 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10314007849007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11274718 + ... + 12155133.

It is an arithmetic number, because the mean of its divisors is an integer number (370425960120).

Almost surely, 2^{10314007849008} is an apocalyptic number.

10314007849008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10314007849008 is an abundant number, since it is smaller than the sum of its proper divisors (19320068960592).

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

10314007849008 is a wasteful number, since it uses less digits than its factorization.

10314007849008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23430887 (or 23430875 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10314007849008 in words is "ten trillion, three hundred fourteen billion, seven million, eight hundred forty-nine thousand, eight".