12610648617408 has 70 divisors (see below), whose sum is σ = 37381913075496. Its totient is φ = 4203549537408.

The previous prime is 12610648617373. The next prime is 12610648617443. The reversal of 12610648617408 is 80471684601621.

12610648617408 is a `hidden beast` number, since 1 + 2 + 6 + 10 + 6 + 4 + 8 + 617 + 4 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12610648617373) and next prime (12610648617443).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1216299660 + ... + 1216310027.

Almost surely, 2^{12610648617408} is an apocalyptic number.

12610648617408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12610648617408 is an abundant number, since it is smaller than the sum of its proper divisors (24771264458088).

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

12610648617408 is an equidigital number, since it uses as much as digits as its factorization.

12610648617408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432609711 (or 2432609692 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12610648617408 in words is "twelve trillion, six hundred ten billion, six hundred forty-eight million, six hundred seventeen thousand, four hundred eight".