1145919238560 has 192 divisors, whose sum is σ = 4027934252160. Its totient is φ = 304266700800.

The previous prime is 1145919238517. The next prime is 1145919238627. The reversal of 1145919238560 is 658329195411.

1145919238560 is a `hidden beast` number, since 1 + 1 + 4 + 59 + 1 + 9 + 23 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1145919238497 and 1145919238506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437335 + ... + 1575785.

It is an arithmetic number, because the mean of its divisors is an integer number (20978824230).

Almost surely, 2^{1145919238560} is an apocalyptic number.

1145919238560 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 1145919238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013967126080).

1145919238560 is an abundant number, since it is smaller than the sum of its proper divisors (2882015013600).

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

1145919238560 is a wasteful number, since it uses less digits than its factorization.

1145919238560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138708 (or 1138694 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1145919238560 in words is "one trillion, one hundred forty-five billion, nine hundred nineteen million, two hundred thirty-eight thousand, five hundred sixty".