10393845696 has 336 divisors, whose sum is σ = 34977811680. Its totient is φ = 3008102400.

The previous prime is 10393845689. The next prime is 10393845767. The reversal of 10393845696 is 69654839301.

10393845696 is a `hidden beast` number, since 10 + 3 + 93 + 8 + 456 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6491296 + ... + 6492896.

It is an arithmetic number, because the mean of its divisors is an integer number (104100630).

Almost surely, 2^10393845696 is an apocalyptic number.

10393845696 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 10393845696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17488905840).

10393845696 is an abundant number, since it is smaller than the sum of its proper divisors (24583965984).

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

10393845696 is a wasteful number, since it uses less digits than its factorization.

10393845696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 10393845696 in words is "ten billion, three hundred ninety-three million, eight hundred forty-five thousand, six hundred ninety-six".