10670342369401 has 81 divisors (see below), whose sum is σ = 12974404335501. Its totient is φ = 8764804276800.

The previous prime is 10670342369399. The next prime is 10670342369437. The reversal of 10670342369401 is 10496324307601.

The square root of 10670342369401 is 3266549.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 276940115001 + 10393402254400 = 526251^2 + 3223880^2 .

It is not a de Polignac number, because 10670342369401 - 2¹ = 10670342369399 is a prime.

It is a super-2 number, since 2×10670342369401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10670342361401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24757174656 + ... + 24757175086.

Almost surely, 2^{10670342369401} is an apocalyptic number.

10670342369401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10670342369401 is the 3266549-th square number.

10670342369401 is the 1633275-th centered octagonal number.

It is an amenable number.

10670342369401 is a deficient number, since it is larger than the sum of its proper divisors (2304061966100).

10670342369401 is an frugal number, since it uses more digits than its factorization.

10670342369401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 10670342369401 in words is "ten trillion, six hundred seventy billion, three hundred forty-two million, three hundred sixty-nine thousand, four hundred one".