90377133177309 has 64 divisors (see below), whose sum is σ = 134852148076800. Its totient is φ = 53376404889600.

The previous prime is 90377133177299. The next prime is 90377133177311.

90377133177309 is nontrivially palindromic in base 10.

90377133177309 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 90377133177309 - 2⁴ = 90377133177293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90377133167309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3525798957 + ... + 3525824589.

It is an arithmetic number, because the mean of its divisors is an integer number (2107064813700).

Almost surely, 2^{90377133177309} is an apocalyptic number.

It is an amenable number.

90377133177309 is a deficient number, since it is larger than the sum of its proper divisors (44475014899491).

90377133177309 is a wasteful number, since it uses less digits than its factorization.

90377133177309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41886.

The product of its (nonzero) digits is 15752961, while the sum is 60.

The spelling of 90377133177309 in words is "ninety trillion, three hundred seventy-seven billion, one hundred thirty-three million, one hundred seventy-seven thousand, three hundred nine".