11436484800 has 336 divisors, whose sum is σ = 42788323872. Its totient is φ = 2649292800.

The previous prime is 11436484789. The next prime is 11436484831. The reversal of 11436484800 is 848463411.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1055410 + ... + 1066190.

It is an arithmetic number, because the mean of its divisors is an integer number (127346202).

Almost surely, 2^11436484800 is an apocalyptic number.

11436484800 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 11436484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21394161936).

11436484800 is an abundant number, since it is smaller than the sum of its proper divisors (31351839072).

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

11436484800 is a wasteful number, since it uses less digits than its factorization.

11436484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10821 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 11436484800 in words is "eleven billion, four hundred thirty-six million, four hundred eighty-four thousand, eight hundred".