1301106862944 has 768 divisors, whose sum is σ = 4661701632000. Its totient is φ = 344799037440.

The previous prime is 1301106862927. The next prime is 1301106862969. The reversal of 1301106862944 is 4492686011031.

1301106862944 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 10 + 6 + 8 + 629 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1301106862944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2937035587 + ... + 2937036029.

It is an arithmetic number, because the mean of its divisors is an integer number (6069924000).

Almost surely, 2^{1301106862944} is an apocalyptic number.

1301106862944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301106862944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330850816000).

1301106862944 is an abundant number, since it is smaller than the sum of its proper divisors (3360594769056).

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

1301106862944 is a wasteful number, since it uses less digits than its factorization.

1301106862944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1301106862944 in words is "one trillion, three hundred one billion, one hundred six million, eight hundred sixty-two thousand, nine hundred forty-four".