22137495502500 has 405 divisors, whose sum is σ = 81360591933621. Its totient is φ = 5058869760000.

The previous prime is 22137495502483. The next prime is 22137495502517. The reversal of 22137495502500 is 520559473122.

The square root of 22137495502500 is 4705050.

It is a perfect power (a square), and thus also a powerful number.

22137495502500 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 7 + 4 + 95 + 50 + 2 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (22137495502483) and next prime (22137495502517).

It can be written as a sum of positive squares in 7 ways, for example, as 10650601952676 + 11486893549824 = 3263526^2 + 3389232^2 .

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 134 ways as a sum of consecutive naturals, for example, 4940300260 + ... + 4940304740.

Almost surely, 2^{22137495502500} is an apocalyptic number.

22137495502500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22137495502500 is the 4705050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22137495502500

22137495502500 is an abundant number, since it is smaller than the sum of its proper divisors (59223096431121).

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

22137495502500 is an frugal number, since it uses more digits than its factorization.

22137495502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 22137495502500 in words is "twenty-two trillion, one hundred thirty-seven billion, four hundred ninety-five million, five hundred two thousand, five hundred".