1101148014736 has 135 divisors (see below), whose sum is σ = 2728726116627. Its totient is φ = 428892784320.

The previous prime is 1101148014679. The next prime is 1101148014737. The reversal of 1101148014736 is 6374108411011.

The square root of 1101148014736 is 1049356.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101148014695 and 1101148014704.

It is not an unprimeable number, because it can be changed into a prime (1101148014737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323199945 + ... + 323203351.

Almost surely, 2^{1101148014736} is an apocalyptic number.

1101148014736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1101148014736 is the 1049356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101148014736

1101148014736 is an abundant number, since it is smaller than the sum of its proper divisors (1627578101891).

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

1101148014736 is an frugal number, since it uses more digits than its factorization.

1101148014736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 1101148014736 in words is "one trillion, one hundred one billion, one hundred forty-eight million, fourteen thousand, seven hundred thirty-six".