1145781504 has 432 divisors, whose sum is σ = 4194288000. Its totient is φ = 306561024.

The previous prime is 1145781499. The next prime is 1145781629. The reversal of 1145781504 is 4051875411.

1145781504 is a `hidden beast` number, since 1 + 145 + 7 + 8 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5757597 + ... + 5757795.

It is an arithmetic number, because the mean of its divisors is an integer number (9709000).

Almost surely, 2^1145781504 is an apocalyptic number.

1145781504 is a gapful number since it is divisible by the number (14) 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 1145781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097144000).

1145781504 is an abundant number, since it is smaller than the sum of its proper divisors (3048506496).

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

1145781504 is a wasteful number, since it uses less digits than its factorization.

1145781504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 1145781504 is about 33849.3944406691. The cubic root of 1145781504 is about 1046.4069185638.

The spelling of 1145781504 in words is "one billion, one hundred forty-five million, seven hundred eighty-one thousand, five hundred four".