11634278400 has 408 divisors, whose sum is σ = 42907402560. Its totient is φ = 3090677760.

The previous prime is 11634278333. The next prime is 11634278401. The reversal of 11634278400 is 487243611.

11634278400 is a `hidden beast` number, since 11 + 634 + 2 + 7 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11634278401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44236669 + ... + 44236931.

Almost surely, 2^11634278400 is an apocalyptic number.

11634278400 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 11634278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21453701280).

11634278400 is an abundant number, since it is smaller than the sum of its proper divisors (31273124160).

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

11634278400 is an frugal number, since it uses more digits than its factorization.

11634278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11634278400 in words is "eleven billion, six hundred thirty-four million, two hundred seventy-eight thousand, four hundred".