1153624216761 has 45 divisors (see below), whose sum is σ = 1738479003349. Its totient is φ = 762374176200.

The previous prime is 1153624216753. The next prime is 1153624216769. The reversal of 1153624216761 is 1676124263511.

It is a happy number.

The square root of 1153624216761 is 1074069.

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

1153624216761 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 624 + 2 + 16 + 7 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1153624216753) and next prime (1153624216769).

It is not a de Polignac number, because 1153624216761 - 2³ = 1153624216753 is a prime.

It is a super-2 number, since 2×1153624216761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1153624216769) 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 44 ways as a sum of consecutive naturals, for example, 1266326896 + ... + 1266327806.

Almost surely, 2^{1153624216761} is an apocalyptic number.

1153624216761 is the 1074069-th square number.

1153624216761 is the 537035-th centered octagonal number.

It is an amenable number.

1153624216761 is a deficient number, since it is larger than the sum of its proper divisors (584854786588).

1153624216761 is an frugal number, since it uses more digits than its factorization.

1153624216761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 1045 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 1153624216761 in words is "one trillion, one hundred fifty-three billion, six hundred twenty-four million, two hundred sixteen thousand, seven hundred sixty-one".