11483178470400 has 1584 divisors, whose sum is σ = 47488042904064. Its totient is φ = 2396006645760.

The previous prime is 11483178470359. The next prime is 11483178470417. The reversal of 11483178470400 is 407487138411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11483178470400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8812876149 + ... + 8812877451.

Almost surely, 2^{11483178470400} is an apocalyptic number.

11483178470400 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 11483178470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23744021452032).

11483178470400 is an abundant number, since it is smaller than the sum of its proper divisors (36004864433664).

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

11483178470400 is a wasteful number, since it uses less digits than its factorization.

11483178470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 11483178470400 in words is "eleven trillion, four hundred eighty-three billion, one hundred seventy-eight million, four hundred seventy thousand, four hundred".