1301108206464 has 384 divisors, whose sum is σ = 4231289664000. Its totient is φ = 393305932800.

The previous prime is 1301108206439. The next prime is 1301108206471. The reversal of 1301108206464 is 4646028011031.

1301108206464 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 1 + 0 + 8 + 2 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180230247 + ... + 180237465.

It is an arithmetic number, because the mean of its divisors is an integer number (11018983500).

Almost surely, 2^{1301108206464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301108206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115644832000).

1301108206464 is an abundant number, since it is smaller than the sum of its proper divisors (2930181457536).

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

1301108206464 is a wasteful number, since it uses less digits than its factorization.

1301108206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1301108206464 in words is "one trillion, three hundred one billion, one hundred eight million, two hundred six thousand, four hundred sixty-four".