1153312757776 has 75 divisors (see below), whose sum is σ = 2376759165841. Its totient is φ = 542151200768.

The previous prime is 1153312757761. The next prime is 1153312757791. The reversal of 1153312757776 is 6777572133511.

The square root of 1153312757776 is 1073924.

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

It is an interprime number because it is at equal distance from previous prime (1153312757761) and next prime (1153312757791).

It can be written as a sum of positive squares in 7 ways, for example, as 640198415376 + 513114342400 = 800124^2 + 716320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1241455680 + ... + 1241456608.

Almost surely, 2^{1153312757776} is an apocalyptic number.

1153312757776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1153312757776 is the 1073924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153312757776

1153312757776 is an abundant number, since it is smaller than the sum of its proper divisors (1223446408065).

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

1153312757776 is an frugal number, since it uses more digits than its factorization.

1153312757776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 948 counting only the distinct ones).

The product of its digits is 6482700, while the sum is 55.

The spelling of 1153312757776 in words is "one trillion, one hundred fifty-three billion, three hundred twelve million, seven hundred fifty-seven thousand, seven hundred seventy-six".