90553913649 has 6 divisors (see below), whose sum is σ = 130800097506. Its totient is φ = 60369275760.

The previous prime is 90553913647. The next prime is 90553913687. The reversal of 90553913649 is 94631935509.

90553913649 is a `hidden beast` number, since 90 + 5 + 539 + 13 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61210223649 + 29343690000 = 247407^2 + 171300^2 .

It is not a de Polignac number, because 90553913649 - 2¹ = 90553913647 is a prime.

It is a super-2 number, since 2×90553913649² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90553913595 and 90553913604.

It is not an unprimeable number, because it can be changed into a prime (90553913647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5030772972 + ... + 5030772989.

It is an arithmetic number, because the mean of its divisors is an integer number (21800016251).

Almost surely, 2^90553913649 is an apocalyptic number.

It is an amenable number.

90553913649 is a deficient number, since it is larger than the sum of its proper divisors (40246183857).

90553913649 is a wasteful number, since it uses less digits than its factorization.

90553913649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061545967 (or 10061545964 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 90553913649 in words is "ninety billion, five hundred fifty-three million, nine hundred thirteen thousand, six hundred forty-nine".