1128761754624 has 1485 divisors, whose sum is σ = 4303934889309. Its totient is φ = 293741199360.

The previous prime is 1128761754611. The next prime is 1128761754629. The reversal of 1128761754624 is 4264571678211.

It is a happy number.

The square root of 1128761754624 is 1062432.

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

1128761754624 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 7 + 6 + 1 + 7 + 5 + 4 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 878793753600 + 249968001024 = 937440^2 + 499968^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4515840) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (1128761754629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 36411669489 + ... + 36411669519.

Almost surely, 2^{1128761754624} is an apocalyptic number.

1128761754624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1128761754624 is the 1062432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128761754624

1128761754624 is an abundant number, since it is smaller than the sum of its proper divisors (3175173134685).

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

1128761754624 is an equidigital number, since it uses as much as digits as its factorization.

1128761754624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 60 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 1128761754624 in words is "one trillion, one hundred twenty-eight billion, seven hundred sixty-one million, seven hundred fifty-four thousand, six hundred twenty-four".