90531932839929 has 243 divisors, whose sum is σ = 160534123060077. Its totient is φ = 50903258789376.

The previous prime is 90531932839919. The next prime is 90531932839963. The reversal of 90531932839929 is 92993823913509.

The square root of 90531932839929 is 9514827.

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

90531932839929 is a `hidden beast` number, since 9 + 0 + 5 + 3 + 193 + 28 + 399 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15667560983529 + 74864371856400 = 3958227^2 + 8652420^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 90531932839929 - 2⁹ = 90531932839417 is a prime.

It is a super-2 number, since 2×90531932839929² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90531932839919) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 523305970087 + ... + 523305970259.

Almost surely, 2^{90531932839929} is an apocalyptic number.

90531932839929 is the 9514827-th square number.

90531932839929 is the 4757414-th centered octagonal number.

It is an amenable number.

90531932839929 is a deficient number, since it is larger than the sum of its proper divisors (70002190220148).

90531932839929 is an frugal number, since it uses more digits than its factorization.

90531932839929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 255091680, while the sum is 72.

The spelling of 90531932839929 in words is "ninety trillion, five hundred thirty-one billion, nine hundred thirty-two million, eight hundred thirty-nine thousand, nine hundred twenty-nine".