1076148965376 has 195 divisors, whose sum is σ = 3216554612733. Its totient is φ = 358517145600.

The previous prime is 1076148965341. The next prime is 1076148965383. The reversal of 1076148965376 is 6735698416701.

The square root of 1076148965376 is 1037376.

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

1076148965376 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 1 + 4 + 8 + 96 + 537 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139744382976 + 936404582400 = 373824^2 + 967680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 597527676 + ... + 597529476.

Almost surely, 2^{1076148965376} is an apocalyptic number.

1076148965376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1076148965376 is the 1037376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076148965376

1076148965376 is an abundant number, since it is smaller than the sum of its proper divisors (2140405647357).

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

1076148965376 is an frugal number, since it uses more digits than its factorization.

1076148965376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1076148965376 in words is "one trillion, seventy-six billion, one hundred forty-eight million, nine hundred sixty-five thousand, three hundred seventy-six".