1155358415376 has 405 divisors, whose sum is σ = 3783325453453. Its totient is φ = 328826065920.

The previous prime is 1155358415333. The next prime is 1155358415389. The reversal of 1155358415376 is 6735148535511.

The square root of 1155358415376 is 1074876.

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

1155358415376 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 3 + 584 + 1 + 53 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 899500496400 + 255857918976 = 948420^2 + 505824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2412021505 + ... + 2412021983.

Almost surely, 2^{1155358415376} is an apocalyptic number.

1155358415376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1155358415376 is the 1074876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155358415376

1155358415376 is an abundant number, since it is smaller than the sum of its proper divisors (2627967038077).

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

1155358415376 is a wasteful number, since it uses less digits than its factorization.

1155358415376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 512 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The spelling of 1155358415376 in words is "one trillion, one hundred fifty-five billion, three hundred fifty-eight million, four hundred fifteen thousand, three hundred seventy-six".