10481134301764 has 81 divisors (see below), whose sum is σ = 21647989463709. Its totient is φ = 4427288564160.

The previous prime is 10481134301747. The next prime is 10481134301767. The reversal of 10481134301764 is 46710343118401.

It is a happy number.

The square root of 10481134301764 is 3237458.

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., 8981469548100 + 1499664753664 = 2996910^2 + 1224608^2 .

It is a super-2 number, since 2×10481134301764² (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 10481134301764.

It is not an unprimeable number, because it can be changed into a prime (10481134301767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3218031624 + ... + 3218034880.

Almost surely, 2^{10481134301764} is an apocalyptic number.

10481134301764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10481134301764 is the 3237458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10481134301764

10481134301764 is an abundant number, since it is smaller than the sum of its proper divisors (11166855161945).

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

10481134301764 is an frugal number, since it uses more digits than its factorization.

10481134301764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 10481134301764 in words is "ten trillion, four hundred eighty-one billion, one hundred thirty-four million, three hundred one thousand, seven hundred sixty-four".