10845972736 has 81 divisors (see below), whose sum is σ = 22712043459. Its totient is φ = 5168875008.

The previous prime is 10845972677. The next prime is 10845972803. The reversal of 10845972736 is 63727954801.

The square root of 10845972736 is 104144.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38324851 + ... + 38325133.

It is a 1-persistent number, because it is pandigital, but 2⋅10845972736 = 21691945472 is not.

Almost surely, 2^10845972736 is an apocalyptic number.

10845972736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10845972736 is the 104144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10845972736

10845972736 is an abundant number, since it is smaller than the sum of its proper divisors (11866070723).

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

10845972736 is an frugal number, since it uses more digits than its factorization.

10845972736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 10845972736 in words is "ten billion, eight hundred forty-five million, nine hundred seventy-two thousand, seven hundred thirty-six".