11234656400 has 180 divisors, whose sum is σ = 29986463556. Its totient is φ = 4041523200.

The previous prime is 11234656399. The next prime is 11234656409. The reversal of 11234656400 is 465643211.

It can be written as a sum of positive squares in 6 ways, for example, as 2467704976 + 8766951424 = 49676^2 + 93632^2 .

It is not an unprimeable number, because it can be changed into a prime (11234656409) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4693604 + ... + 4695996.

Almost surely, 2^11234656400 is an apocalyptic number.

11234656400 is a gapful number since it is divisible by the number (10) 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 11234656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993231778).

11234656400 is an abundant number, since it is smaller than the sum of its proper divisors (18751807156).

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

11234656400 is a wasteful number, since it uses less digits than its factorization.

11234656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 11234656400 in words is "eleven billion, two hundred thirty-four million, six hundred fifty-six thousand, four hundred".