1355457688201 has 32 divisors (see below), whose sum is σ = 1427134722048. Its totient is φ = 1286117429760.

The previous prime is 1355457688199. The next prime is 1355457688283. The reversal of 1355457688201 is 1028867545531.

It is a happy number.

It is the 475300-th star number.

It is a cyclic number.

It is not a de Polignac number, because 1355457688201 - 2¹ = 1355457688199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1355457688001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86145931 + ... + 86161663.

It is an arithmetic number, because the mean of its divisors is an integer number (44597960064).

Almost surely, 2^{1355457688201} is an apocalyptic number.

1355457688201 is the 582121-st decagonal number.

It is an amenable number.

1355457688201 is a deficient number, since it is larger than the sum of its proper divisors (71677033847).

1355457688201 is a wasteful number, since it uses less digits than its factorization.

1355457688201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16201.

The product of its (nonzero) digits is 8064000, while the sum is 55.

The spelling of 1355457688201 in words is "one trillion, three hundred fifty-five billion, four hundred fifty-seven million, six hundred eighty-eight thousand, two hundred one".