1114778505600 has 480 divisors, whose sum is σ = 4224997365600. Its totient is φ = 289237340160.

The previous prime is 1114778505559. The next prime is 1114778505619. The reversal of 1114778505600 is 65058774111.

1114778505600 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 7 + 7 + 85 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1114778505600² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9532281 + ... + 9648519.

It is an arithmetic number, because the mean of its divisors is an integer number (8802077845).

Almost surely, 2^{1114778505600} is an apocalyptic number.

1114778505600 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 1114778505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112498682800).

1114778505600 is an abundant number, since it is smaller than the sum of its proper divisors (3110218860000).

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

1114778505600 is a wasteful number, since it uses less digits than its factorization.

1114778505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116312 (or 116286 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 1114778505600 in words is "one trillion, one hundred fourteen billion, seven hundred seventy-eight million, five hundred five thousand, six hundred".