11134781348400 has 1200 divisors, whose sum is σ = 42969643516800. Its totient is φ = 2752952832000.

The previous prime is 11134781348387. The next prime is 11134781348473. The reversal of 11134781348400 is 484318743111.

11134781348400 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 478 + 134 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10206031855 + ... + 10206032945.

It is an arithmetic number, because the mean of its divisors is an integer number (35808036264).

Almost surely, 2^{11134781348400} is an apocalyptic number.

11134781348400 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 11134781348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484821758400).

11134781348400 is an abundant number, since it is smaller than the sum of its proper divisors (31834862168400).

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

11134781348400 is a wasteful number, since it uses less digits than its factorization.

11134781348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11134781348400 in words is "eleven trillion, one hundred thirty-four billion, seven hundred eighty-one million, three hundred forty-eight thousand, four hundred".