10701692465140 has 48 divisors (see below), whose sum is σ = 22793473619280. Its totient is φ = 4220103756800.

The previous prime is 10701692465069. The next prime is 10701692465147. The reversal of 10701692465140 is 4156429610701.

It can be written as a sum of positive squares in 8 ways, for example, as 189909437796 + 10511783027344 = 435786^2 + 3242188^2 .

It is a super-2 number, since 2×10701692465140² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10701692465147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10898155 + ... + 11839474.

It is an arithmetic number, because the mean of its divisors is an integer number (474864033735).

Almost surely, 2^{10701692465140} is an apocalyptic number.

10701692465140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10701692465140 is an abundant number, since it is smaller than the sum of its proper divisors (12091781154140).

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

10701692465140 is a wasteful number, since it uses less digits than its factorization.

10701692465140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22737972 (or 22737970 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10701692465140 in words is "ten trillion, seven hundred one billion, six hundred ninety-two million, four hundred sixty-five thousand, one hundred forty".