10694267136 has 288 divisors, whose sum is σ = 36591851520. Its totient is φ = 3017558016.

The previous prime is 10694267123. The next prime is 10694267147. The reversal of 10694267136 is 63176249601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10694267136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10694267091 and 10694267100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4014541 + ... + 4017203.

It is an arithmetic number, because the mean of its divisors is an integer number (127055040).

Almost surely, 2^10694267136 is an apocalyptic number.

10694267136 is a gapful number since it is divisible by the number (16) 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 10694267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295925760).

10694267136 is an abundant number, since it is smaller than the sum of its proper divisors (25897584384).

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

10694267136 is an equidigital number, since it uses as much as digits as its factorization.

10694267136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10694267136 in words is "ten billion, six hundred ninety-four million, two hundred sixty-seven thousand, one hundred thirty-six".