90842562801 has 45 divisors (see below), whose sum is σ = 138527869805. Its totient is φ = 59568893640.

The previous prime is 90842562791. The next prime is 90842562821. The reversal of 90842562801 is 10826524809.

The square root of 90842562801 is 301401.

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

90842562801 is a `hidden beast` number, since 9 + 0 + 8 + 4 + 2 + 562 + 80 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79410676401 + 11431886400 = 281799^2 + 106920^2 .

It is not a de Polignac number, because 90842562801 - 2⁷ = 90842562673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90842562821) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1489222311 + ... + 1489222371.

Almost surely, 2^90842562801 is an apocalyptic number.

90842562801 is the 301401-st square number.

90842562801 is the 150701-st centered octagonal number.

It is an amenable number.

90842562801 is a deficient number, since it is larger than the sum of its proper divisors (47685307004).

90842562801 is an frugal number, since it uses more digits than its factorization.

90842562801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 90842562801 in words is "ninety billion, eight hundred forty-two million, five hundred sixty-two thousand, eight hundred one".