11455420900 has 243 divisors, whose sum is σ = 32014843497. Its totient is φ = 3544833600.

The previous prime is 11455420897. The next prime is 11455420969. The reversal of 11455420900 is 902455411.

The square root of 11455420900 is 107030.

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

It can be written as a sum of positive squares in only one way, i.e., 4123951524 + 7331469376 = 64218^2 + 85624^2 .

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 80 ways as a sum of consecutive naturals, for example, 82413031 + ... + 82413169.

Almost surely, 2^11455420900 is an apocalyptic number.

11455420900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11455420900 is the 107030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11455420900

11455420900 is an abundant number, since it is smaller than the sum of its proper divisors (20559422597).

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

11455420900 is a wasteful number, since it uses less digits than its factorization.

11455420900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 11455420900 in words is "eleven billion, four hundred fifty-five million, four hundred twenty thousand, nine hundred".