90145093171 has 24 divisors (see below), whose sum is σ = 109651000320. Its totient is φ = 73753040592.

The previous prime is 90145093151. The next prime is 90145093177. The reversal of 90145093171 is 17139054109.

It is not a de Polignac number, because 90145093171 - 2⁷ = 90145093043 is a prime.

It is a super-2 number, since 2×90145093171² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90145093177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456340 + ... + 623326.

It is an arithmetic number, because the mean of its divisors is an integer number (4568791680).

Almost surely, 2^90145093171 is an apocalyptic number.

90145093171 is a deficient number, since it is larger than the sum of its proper divisors (19505907149).

90145093171 is a wasteful number, since it uses less digits than its factorization.

90145093171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167503 (or 167496 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 90145093171 in words is "ninety billion, one hundred forty-five million, ninety-three thousand, one hundred seventy-one".