1121626464 has 192 divisors, whose sum is σ = 3585254400. Its totient is φ = 306324480.

The previous prime is 1121626433. The next prime is 1121626489. The reversal of 1121626464 is 4646261211.

1121626464 = 18² + 19² + ... + 1498².

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 756604 + ... + 758084.

It is an arithmetic number, because the mean of its divisors is an integer number (18673200).

Almost surely, 2^1121626464 is an apocalyptic number.

1121626464 is a gapful number since it is divisible by the number (14) 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 1121626464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792627200).

1121626464 is an abundant number, since it is smaller than the sum of its proper divisors (2463627936).

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

1121626464 is a wasteful number, since it uses less digits than its factorization.

1121626464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1516 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 1121626464 is about 33490.6921994754. The cubic root of 1121626464 is about 1039.0012798871.

Adding to 1121626464 its reverse (4646261211), we get a palindrome (5767887675).

The spelling of 1121626464 in words is "one billion, one hundred twenty-one million, six hundred twenty-six thousand, four hundred sixty-four".