1124782848000 has 2304 divisors, whose sum is σ = 5016219062400. Its totient is φ = 250822656000.

The previous prime is 1124782847999. The next prime is 1124782848019. The reversal of 1124782848000 is 8482874211.

1124782848000 is a `hidden beast` number, since 112 + 478 + 28 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1124782848000² (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 191 ways as a sum of consecutive naturals, for example, 27433727980 + ... + 27433728020.

Almost surely, 2^{1124782848000} is an apocalyptic number.

1124782848000 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 1124782848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508109531200).

1124782848000 is an abundant number, since it is smaller than the sum of its proper divisors (3891436214400).

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

1124782848000 is an frugal number, since it uses more digits than its factorization.

1124782848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 1124782848000 in words is "one trillion, one hundred twenty-four billion, seven hundred eighty-two million, eight hundred forty-eight thousand".