10645189269330 has 256 divisors, whose sum is σ = 33174272286720. Its totient is φ = 2121889996800.

The previous prime is 10645189269329. The next prime is 10645189269397. The reversal of 10645189269330 is 3396298154601.

It is a super-2 number, since 2×10645189269330² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5191266 + ... + 6945474.

It is an arithmetic number, because the mean of its divisors is an integer number (129587001120).

Almost surely, 2^{10645189269330} is an apocalyptic number.

10645189269330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10645189269330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587136143360).

10645189269330 is an abundant number, since it is smaller than the sum of its proper divisors (22529083017390).

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

10645189269330 is a wasteful number, since it uses less digits than its factorization.

10645189269330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754345.

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 10645189269330 in words is "ten trillion, six hundred forty-five billion, one hundred eighty-nine million, two hundred sixty-nine thousand, three hundred thirty".