10110694464 has 168 divisors, whose sum is σ = 31971931992. Its totient is φ = 3035013120.

The previous prime is 10110694463. The next prime is 10110694469. The reversal of 10110694464 is 46449601101.

10110694464 is a `hidden beast` number, since 1 + 0 + 1 + 106 + 94 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1282212864 + 8828481600 = 35808^2 + 93960^2 .

It is a super-2 number, since 2×10110694464² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10110694463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290542 + ... + 323474.

It is an arithmetic number, because the mean of its divisors is an integer number (190309119).

Almost surely, 2^10110694464 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 10110694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985965996).

10110694464 is an abundant number, since it is smaller than the sum of its proper divisors (21861237528).

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

10110694464 is a wasteful number, since it uses less digits than its factorization.

10110694464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33005 (or 32992 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10110694464 in words is "ten billion, one hundred ten million, six hundred ninety-four thousand, four hundred sixty-four".