10301437650064 has 120 divisors (see below), whose sum is σ = 23135960694816. Its totient is φ = 4405825536000.

The previous prime is 10301437650059. The next prime is 10301437650073. The reversal of 10301437650064 is 46005673410301.

It is a super-2 number, since 2×10301437650064² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301437649999 and 10301437650026.

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 23 ways as a sum of consecutive naturals, for example, 199920624 + ... + 199972144.

Almost surely, 2^{10301437650064} 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 10301437650064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11567980347408).

10301437650064 is an abundant number, since it is smaller than the sum of its proper divisors (12834523044752).

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

10301437650064 is a wasteful number, since it uses less digits than its factorization.

10301437650064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55505 (or 55482 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 10301437650064 in words is "ten trillion, three hundred one billion, four hundred thirty-seven million, six hundred fifty thousand, sixty-four".