1143188640000 has 1485 divisors, whose sum is σ = 4701375390019. Its totient is φ = 277136640000.

The previous prime is 1143188639963. The next prime is 1143188640017. The reversal of 1143188640000 is 468813411.

It is a happy number.

The square root of 1143188640000 is 1069200.

It is a perfect power (a square), and thus also a powerful number.

1143188640000 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 8 + 8 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89625989376 + 1053562650624 = 299376^2 + 1026432^2 .

It is a tau number, because it is divible by the number of its divisors (1485).

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

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 103926239995 + ... + 103926240005.

Almost surely, 2^{1143188640000} is an apocalyptic number.

1143188640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1143188640000 is the 1069200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143188640000

1143188640000 is an abundant number, since it is smaller than the sum of its proper divisors (3558186750019).

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

1143188640000 is an frugal number, since it uses more digits than its factorization.

1143188640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 1143188640000 by its sum of digits (36), we get a square (41154791040000 = 6415200²).

1143188640000 divided by its sum of digits (36) gives a square (31755240000 = 178200²).

The spelling of 1143188640000 in words is "one trillion, one hundred forty-three billion, one hundred eighty-eight million, six hundred forty thousand".