22503386952 has 180 divisors, whose sum is σ = 64710102435. Its totient is φ = 7306377120.

The previous prime is 22503386947. The next prime is 22503386957. The reversal of 22503386952 is 25968330522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22503386952 is a `hidden beast` number, since 2 + 2 + 503 + 38 + 69 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (22503386947) and next prime (22503386957).

It can be written as a sum of positive squares in only one way, i.e., 11251693476 + 11251693476 = 106074^2 + 106074^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106074.

It is a super-2 number, since 2×22503386952² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22503386898 and 22503386907.

It is not an unprimeable number, because it can be changed into a prime (22503386957) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 271125103 + ... + 271125185.

Almost surely, 2^22503386952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22503386952

22503386952 is an abundant number, since it is smaller than the sum of its proper divisors (42206715483).

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

22503386952 is an frugal number, since it uses more digits than its factorization.

22503386952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 22503386952 in words is "twenty-two billion, five hundred three million, three hundred eighty-six thousand, nine hundred fifty-two".