10305346963968 has 400 divisors, whose sum is σ = 35166706728384. Its totient is φ = 2943224709120.

The previous prime is 10305346963921. The next prime is 10305346963993. The reversal of 10305346963968 is 86936964350301.

10305346963968 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 53 + 469 + 63 + 9 + 68 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 966997296 + ... + 967007952.

Almost surely, 2^{10305346963968} is an apocalyptic number.

10305346963968 is a gapful number since it is divisible by the number (18) 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 10305346963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583353364192).

10305346963968 is an abundant number, since it is smaller than the sum of its proper divisors (24861359764416).

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

10305346963968 is an equidigital number, since it uses as much as digits as its factorization.

10305346963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025 (or 14000 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 10305346963968 in words is "ten trillion, three hundred five billion, three hundred forty-six million, nine hundred sixty-three thousand, nine hundred sixty-eight".