1122951456 has 288 divisors, whose sum is σ = 3821126400. Its totient is φ = 308797440.

The previous prime is 1122951413. The next prime is 1122951461. The reversal of 1122951456 is 6541592211.

1122951456 is a `hidden beast` number, since 112 + 2 + 95 + 1 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1122951456² = 2522039945065039872, which contains 22 as substring.

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 1122951456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561465 + ... + 1562183.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^1122951456 is an apocalyptic number.

1122951456 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 1122951456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910563200).

1122951456 is an abundant number, since it is smaller than the sum of its proper divisors (2698174944).

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

1122951456 is a wasteful number, since it uses less digits than its factorization.

1122951456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 781 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1122951456 is about 33510.4678570742. The cubic root of 1122951456 is about 1039.4102474865.

The spelling of 1122951456 in words is "one billion, one hundred twenty-two million, nine hundred fifty-one thousand, four hundred fifty-six".