1958756997136 has 45 divisors (see below), whose sum is σ = 3848594358999. Its totient is φ = 965760818688.

The previous prime is 1958756997091. The next prime is 1958756997143. The reversal of 1958756997136 is 6317996578591.

The square root of 1958756997136 is 1399556.

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

It can be written as a sum of positive squares in 4 ways, for example, as 410424734736 + 1548332262400 = 640644^2 + 1244320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 408667956 + ... + 408672748.

Almost surely, 2^{1958756997136} is an apocalyptic number.

1958756997136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1958756997136 is the 1399556-th square number.

It is an amenable number.

1958756997136 is a deficient number, since it is larger than the sum of its proper divisors (1889837361863).

1958756997136 is an frugal number, since it uses more digits than its factorization.

1958756997136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 4868 counting only the distinct ones).

The product of its digits is 771573600, while the sum is 76.

The spelling of 1958756997136 in words is "one trillion, nine hundred fifty-eight billion, seven hundred fifty-six million, nine hundred ninety-seven thousand, one hundred thirty-six".