2251332197136 has 405 divisors, whose sum is σ = 7208577266709. Its totient is φ = 680601398400.

The previous prime is 2251332197077. The next prime is 2251332197173. The reversal of 2251332197136 is 6317912331522.

The square root of 2251332197136 is 1500444.

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

2251332197136 is a `hidden beast` number, since 2 + 2 + 513 + 32 + 1 + 9 + 71 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10682462736 + 2240649734400 = 103356^2 + 1496880^2 .

It is a super-2 number, since 2×2251332197136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2251332197091 and 2251332197100.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5347582206 + ... + 5347582626.

Almost surely, 2^{2251332197136} is an apocalyptic number.

2251332197136 is the 1500444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251332197136

2251332197136 is an abundant number, since it is smaller than the sum of its proper divisors (4957245069573).

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

2251332197136 is an frugal number, since it uses more digits than its factorization.

2251332197136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 437 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 2251332197136 in words is "two trillion, two hundred fifty-one billion, three hundred thirty-two million, one hundred ninety-seven thousand, one hundred thirty-six".