90145262466 has 72 divisors (see below), whose sum is σ = 240567769260. Its totient is φ = 24240738816.

The previous prime is 90145262461. The next prime is 90145262489. The reversal of 90145262466 is 66426254109.

90145262466 is a `hidden beast` number, since 9 + 0 + 14 + 5 + 2 + 624 + 6 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86423652441 + 3721610025 = 293979^2 + 61005^2 .

It is not an unprimeable number, because it can be changed into a prime (90145262461) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2991051 + ... + 3021038.

Almost surely, 2^90145262466 is an apocalyptic number.

90145262466 is an abundant number, since it is smaller than the sum of its proper divisors (150422506794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90145262466 is a wasteful number, since it uses less digits than its factorization.

90145262466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012128 (or 6012118 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90145262466 in words is "ninety billion, one hundred forty-five million, two hundred sixty-two thousand, four hundred sixty-six".