1155225456 has 160 divisors (see below), whose sum is σ = 4134259200. Its totient is φ = 300049920.

The previous prime is 1155225437. The next prime is 1155225481. The reversal of 1155225456 is 6545225511.

1155225456 is a `hidden beast` number, since 1 + 1 + 552 + 2 + 54 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1155225456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15900 + ... + 50628.

It is an arithmetic number, because the mean of its divisors is an integer number (25839120).

Almost surely, 2^1155225456 is an apocalyptic number.

1155225456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067129600).

1155225456 is an abundant number, since it is smaller than the sum of its proper divisors (2979033744).

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

1155225456 is a wasteful number, since it uses less digits than its factorization.

1155225456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34764 (or 34752 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 1155225456 is about 33988.6077384761. The cubic root of 1155225456 is about 1049.2740124415.

The spelling of 1155225456 in words is "one billion, one hundred fifty-five million, two hundred twenty-five thousand, four hundred fifty-six".