1146735771753 has 16 divisors (see below), whose sum is σ = 1796285405376. Its totient is φ = 641530501440.

The previous prime is 1146735771691. The next prime is 1146735771767. The reversal of 1146735771753 is 3571775376411.

It is a happy number.

It is not a de Polignac number, because 1146735771753 - 2¹⁶ = 1146735706217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1146735771693 and 1146735771702.

It is not an unprimeable number, because it can be changed into a prime (1146735771653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336521450 + ... + 1336522307.

It is an arithmetic number, because the mean of its divisors is an integer number (112267837836).

Almost surely, 2^{1146735771753} is an apocalyptic number.

1146735771753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1146735771753 is a deficient number, since it is larger than the sum of its proper divisors (649549633623).

1146735771753 is a wasteful number, since it uses less digits than its factorization.

1146735771753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673043784.

The product of its digits is 12965400, while the sum is 57.

The spelling of 1146735771753 in words is "one trillion, one hundred forty-six billion, seven hundred thirty-five million, seven hundred seventy-one thousand, seven hundred fifty-three".