90378977345 has 8 divisors (see below), whose sum is σ = 108571521960. Its totient is φ = 72225349120.

The previous prime is 90378977329. The next prime is 90378977371. The reversal of 90378977345 is 54377987309.

It can be written as a sum of positive squares in 4 ways, for example, as 1302993409 + 89075983936 = 36097^2 + 298456^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 90378977345 - 2⁴ = 90378977329 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9723986 + ... + 9733275.

It is an arithmetic number, because the mean of its divisors is an integer number (13571440245).

Almost surely, 2^90378977345 is an apocalyptic number.

It is an amenable number.

90378977345 is a deficient number, since it is larger than the sum of its proper divisors (18192544615).

90378977345 is a wasteful number, since it uses less digits than its factorization.

90378977345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19458195.

The product of its (nonzero) digits is 40007520, while the sum is 62.

The spelling of 90378977345 in words is "ninety billion, three hundred seventy-eight million, nine hundred seventy-seven thousand, three hundred forty-five".