1144874896 has 45 divisors (see below), whose sum is σ = 2441356113. Its totient is φ = 519720960.

The previous prime is 1144874891. The next prime is 1144874897. The reversal of 1144874896 is 6984784411.

The square root of 1144874896 is 33836.

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., 447914896 + 696960000 = 21164^2 + 26400^2 .

It is a super-3 number, since 3×1144874896³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1144874891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1488400 + ... + 1489168.

Almost surely, 2^1144874896 is an apocalyptic number.

1144874896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1144874896 is the 33836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144874896

1144874896 is an abundant number, since it is smaller than the sum of its proper divisors (1296481217).

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

1144874896 is an frugal number, since it uses more digits than its factorization.

1144874896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 782 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The cubic root of 1144874896 is about 1046.1308533608.

The spelling of 1144874896 in words is "one billion, one hundred forty-four million, eight hundred seventy-four thousand, eight hundred ninety-six".