12648100515461 has 8 divisors (see below), whose sum is σ = 12685524864600. Its totient is φ = 12610682929152.

The previous prime is 12648100515439. The next prime is 12648100515527. The reversal of 12648100515461 is 16451500184621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7776011102500 + 4872089412961 = 2788550^2 + 2207281^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12648100515461 - 2³⁸ = 12373222608517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12648100515431) 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, 2067641 + ... + 5437953.

It is an arithmetic number, because the mean of its divisors is an integer number (1585690608075).

Almost surely, 2^{12648100515461} is an apocalyptic number.

It is an amenable number.

12648100515461 is a deficient number, since it is larger than the sum of its proper divisors (37424349139).

12648100515461 is a wasteful number, since it uses less digits than its factorization.

12648100515461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381415.

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 12648100515461 in words is "twelve trillion, six hundred forty-eight billion, one hundred million, five hundred fifteen thousand, four hundred sixty-one".