30453261456 has 120 divisors (see below), whose sum is σ = 81939041280. Its totient is φ = 9734557952.

The previous prime is 30453261439. The next prime is 30453261479. The reversal of 30453261456 is 65416235403.

It is a super-2 number, since 2×30453261456² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79512241 + ... + 79512623.

It is an arithmetic number, because the mean of its divisors is an integer number (682825344).

Almost surely, 2^30453261456 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 30453261456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40969520640).

30453261456 is an abundant number, since it is smaller than the sum of its proper divisors (51485779824).

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

30453261456 is a wasteful number, since it uses less digits than its factorization.

30453261456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 30453261456 its reverse (65416235403), we get a palindrome (95869496859).

The spelling of 30453261456 in words is "thirty billion, four hundred fifty-three million, two hundred sixty-one thousand, four hundred fifty-six".