1342819757601 has 45 divisors (see below), whose sum is σ = 2263052401649. Its totient is φ = 767228236488.

The previous prime is 1342819757579. The next prime is 1342819757611. The reversal of 1342819757601 is 1067579182431.

The square root of 1342819757601 is 1158801.

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

1342819757601 is a `hidden beast` number, since 1 + 3 + 4 + 28 + 1 + 9 + 7 + 5 + 7 + 601 = 666.

It is not a de Polignac number, because 1342819757601 - 2⁵ = 1342819757569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1342819757611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 170339806 + ... + 170347688.

It is a 1-persistent number, because it is pandigital, but 2⋅1342819757601 = 2685639515202 is not.

Almost surely, 2^{1342819757601} is an apocalyptic number.

1342819757601 is the 1158801-st square number.

1342819757601 is the 579401-st centered octagonal number.

It is an amenable number.

1342819757601 is a deficient number, since it is larger than the sum of its proper divisors (920232644048).

1342819757601 is an frugal number, since it uses more digits than its factorization.

1342819757601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1342819757601 in words is "one trillion, three hundred forty-two billion, eight hundred nineteen million, seven hundred fifty-seven thousand, six hundred one".