10451381824 has 63 divisors (see below), whose sum is σ = 22480391793. Its totient is φ = 4818807552.

The previous prime is 10451381803. The next prime is 10451381849. The reversal of 10451381824 is 42818315401.

The square root of 10451381824 is 102232.

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

It can be written as a sum of positive squares in only one way, i.e., 1546062400 + 8905319424 = 39320^2 + 94368^2 .

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, 10631637 + ... + 10632619.

Almost surely, 2^10451381824 is an apocalyptic number.

10451381824 is the 102232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10451381824

10451381824 is an abundant number, since it is smaller than the sum of its proper divisors (12029009969).

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

10451381824 is an frugal number, since it uses more digits than its factorization.

10451381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 10451381824 in words is "ten billion, four hundred fifty-one million, three hundred eighty-one thousand, eight hundred twenty-four".