1225155456 has 384 divisors, whose sum is σ = 4437538560. Its totient is φ = 328458240.

The previous prime is 1225155443. The next prime is 1225155461. The reversal of 1225155456 is 6545515221.

1225155456 is a `hidden beast` number, since 1 + 2 + 2 + 51 + 554 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 1225155456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701211 + ... + 3701541.

It is an arithmetic number, because the mean of its divisors is an integer number (11556090).

Almost surely, 2^1225155456 is an apocalyptic number.

1225155456 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 1225155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218769280).

1225155456 is an abundant number, since it is smaller than the sum of its proper divisors (3212383104).

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

1225155456 is an equidigital number, since it uses as much as digits as its factorization.

1225155456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

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

The square root of 1225155456 is about 35002.2207295480. The cubic root of 1225155456 is about 1070.0327401401.

The spelling of 1225155456 in words is "one billion, two hundred twenty-five million, one hundred fifty-five thousand, four hundred fifty-six".