10685307838464 has 336 divisors, whose sum is σ = 35455728436128. Its totient is φ = 3037419012096.

The previous prime is 10685307838459. The next prime is 10685307838493. The reversal of 10685307838464 is 46483870358601.

10685307838464 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 530 + 7 + 8 + 38 + 4 + 64 = 666.

10685307838464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10685307838464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101618364 + ... + 101723460.

It is an arithmetic number, because the mean of its divisors is an integer number (105523001298).

Almost surely, 2^{10685307838464} is an apocalyptic number.

10685307838464 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 10685307838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727864218064).

10685307838464 is an abundant number, since it is smaller than the sum of its proper divisors (24770420597664).

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

10685307838464 is a wasteful number, since it uses less digits than its factorization.

10685307838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105333 (or 105306 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 10685307838464 in words is "ten trillion, six hundred eighty-five billion, three hundred seven million, eight hundred thirty-eight thousand, four hundred sixty-four".