11507281984 has 189 divisors, whose sum is σ = 26742489949. Its totient is φ = 4908766720.

The previous prime is 11507281969. The next prime is 11507281993. The reversal of 11507281984 is 48918270511.

11507281984 = 477² + 478² + ... + 3259².

The square root of 11507281984 is 107272.

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., 8295566400 + 3211715584 = 91080^2 + 56672^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 217118502 + ... + 217118554.

Almost surely, 2^11507281984 is an apocalyptic number.

11507281984 is the 107272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11507281984

11507281984 is an abundant number, since it is smaller than the sum of its proper divisors (15235207965).

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

11507281984 is an equidigital number, since it uses as much as digits as its factorization.

11507281984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The spelling of 11507281984 in words is "eleven billion, five hundred seven million, two hundred eighty-one thousand, nine hundred eighty-four".