90345430080 has 140 divisors (see below), whose sum is σ = 321374681100. Its totient is φ = 24092107776.

The previous prime is 90345430079. The next prime is 90345430099. The reversal of 90345430080 is 8003454309.

90345430080 is a `hidden beast` number, since 9 + 0 + 34 + 543 + 0 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23123460096 + 67221969984 = 152064^2 + 259272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1716855 + ... + 1768694.

Almost surely, 2^90345430080 is an apocalyptic number.

90345430080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90345430080 is an abundant number, since it is smaller than the sum of its proper divisors (231029251020).

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

90345430080 is a wasteful number, since it uses less digits than its factorization.

90345430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485578 (or 3485559 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 90345430080 its reverse (8003454309), we get a palindrome (98348884389).

The spelling of 90345430080 in words is "ninety billion, three hundred forty-five million, four hundred thirty thousand, eighty".