7583987241216 has 81 divisors (see below), whose sum is σ = 21866886015429. Its totient is φ = 2527951684608.

The previous prime is 7583987241211. The next prime is 7583987241277. The reversal of 7583987241216 is 6121427893857.

The square root of 7583987241216 is 2753904.

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

7583987241216 is a `hidden beast` number, since 7 + 5 + 8 + 398 + 7 + 24 + 1 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7203426566400 + 380560674816 = 2683920^2 + 616896^2 .

It is not an unprimeable number, because it can be changed into a prime (7583987241211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 132158706 + ... + 132216078.

Almost surely, 2^{7583987241216} is an apocalyptic number.

7583987241216 is the 2753904-th square number.

It is an amenable number.

7583987241216 is an abundant number, since it is smaller than the sum of its proper divisors (14282898774213).

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

7583987241216 is an frugal number, since it uses more digits than its factorization.

7583987241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114768 (or 57378 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 7583987241216 in words is "seven trillion, five hundred eighty-three billion, nine hundred eighty-seven million, two hundred forty-one thousand, two hundred sixteen".