22307005638090 has 36 divisors (see below), whose sum is σ = 57998331156402. Its totient is φ = 5948522888400.

The previous prime is 22307005638067. The next prime is 22307005638121. The reversal of 22307005638090 is 9083650070322.

22307005638090 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 7 + 0 + 0 + 5 + 638 + 0 + 9 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20076305074281 + 2230700563809 = 4480659^2 + 1493553^2 .

It is a super-3 number, since 3×22307005638090³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44557665 + ... + 45055515.

Almost surely, 2^{22307005638090} is an apocalyptic number.

22307005638090 is an abundant number, since it is smaller than the sum of its proper divisors (35691325518312).

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

22307005638090 is an frugal number, since it uses more digits than its factorization.

22307005638090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995715 (or 497861 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 22307005638090 in words is "twenty-two trillion, three hundred seven billion, five million, six hundred thirty-eight thousand, ninety".