90585863387046 has 192 divisors, whose sum is σ = 216818835367680. Its totient is φ = 27937188748800.

The previous prime is 90585863387021. The next prime is 90585863387069. The reversal of 90585863387046 is 64078336858509.

It is a happy number.

90585863387046 is a `hidden beast` number, since 9 + 0 + 5 + 8 + 586 + 3 + 38 + 7 + 0 + 4 + 6 = 666.

It is a super-2 number, since 2×90585863387046² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6869324065 + ... + 6869337251.

It is an arithmetic number, because the mean of its divisors is an integer number (1129264767540).

Almost surely, 2^{90585863387046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90585863387046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108409417683840).

90585863387046 is an abundant number, since it is smaller than the sum of its proper divisors (126232971980634).

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

90585863387046 is a wasteful number, since it uses less digits than its factorization.

90585863387046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15348 (or 15281 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 90585863387046 in words is "ninety trillion, five hundred eighty-five billion, eight hundred sixty-three million, three hundred eighty-seven thousand, forty-six".