1146097951365 has 32 divisors (see below), whose sum is σ = 1873983628800. Its totient is φ = 597860089344.

The previous prime is 1146097951351. The next prime is 1146097951379. The reversal of 1146097951365 is 5631597906411.

It is an interprime number because it is at equal distance from previous prime (1146097951351) and next prime (1146097951379).

It is not a de Polignac number, because 1146097951365 - 2⁹ = 1146097950853 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 567297 + ... + 1616793.

It is an arithmetic number, because the mean of its divisors is an integer number (58561988400).

Almost surely, 2^{1146097951365} is an apocalyptic number.

1146097951365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1146097951365 is a deficient number, since it is larger than the sum of its proper divisors (727885677435).

1146097951365 is a wasteful number, since it uses less digits than its factorization.

1146097951365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051101.

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 1146097951365 in words is "one trillion, one hundred forty-six billion, ninety-seven million, nine hundred fifty-one thousand, three hundred sixty-five".