1353414346141 has 16 divisors (see below), whose sum is σ = 1605768087168. Its totient is φ = 1124487432000.

The previous prime is 1353414346139. The next prime is 1353414346147. The reversal of 1353414346141 is 1416434143531.

It is a cyclic number.

It is not a de Polignac number, because 1353414346141 - 2¹ = 1353414346139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1353414346094 and 1353414346103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353414346147) 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, 46839201 + ... + 46868086.

It is an arithmetic number, because the mean of its divisors is an integer number (100360505448).

Almost surely, 2^{1353414346141} is an apocalyptic number.

1353414346141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1353414346141 is a deficient number, since it is larger than the sum of its proper divisors (252353741027).

1353414346141 is a wasteful number, since it uses less digits than its factorization.

1353414346141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93707412.

The product of its digits is 207360, while the sum is 40.

Adding to 1353414346141 its reverse (1416434143531), we get a palindrome (2769848489672).

The spelling of 1353414346141 in words is "one trillion, three hundred fifty-three billion, four hundred fourteen million, three hundred forty-six thousand, one hundred forty-one".