10712280253444 has 243 divisors, whose sum is σ = 24491704137663. Its totient is φ = 4084656576000.

The previous prime is 10712280253393. The next prime is 10712280253471. The reversal of 10712280253444 is 44435208221701.

The square root of 10712280253444 is 3272962.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6721522908100 + 3990757345344 = 2592590^2 + 1997688^2 .

It is a super-2 number, since 2×10712280253444² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10712280253444.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26713915644 + ... + 26713916044.

Almost surely, 2^{10712280253444} is an apocalyptic number.

10712280253444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10712280253444 is the 3272962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712280253444

10712280253444 is an abundant number, since it is smaller than the sum of its proper divisors (13779423884219).

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

10712280253444 is an equidigital number, since it uses as much as digits as its factorization.

10712280253444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 10712280253444 in words is "ten trillion, seven hundred twelve billion, two hundred eighty million, two hundred fifty-three thousand, four hundred forty-four".