1159148820144 has 160 divisors (see below), whose sum is σ = 3549393141760. Its totient is φ = 318982406400.

The previous prime is 1159148820107. The next prime is 1159148820197. The reversal of 1159148820144 is 4410288419511.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1159148820093 and 1159148820102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1934067 + ... + 2461485.

It is an arithmetic number, because the mean of its divisors is an integer number (22183707136).

Almost surely, 2^{1159148820144} is an apocalyptic number.

1159148820144 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 1159148820144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774696570880).

1159148820144 is an abundant number, since it is smaller than the sum of its proper divisors (2390244321616).

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

1159148820144 is a wasteful number, since it uses less digits than its factorization.

1159148820144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527679 (or 527673 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 1159148820144 in words is "one trillion, one hundred fifty-nine billion, one hundred forty-eight million, eight hundred twenty thousand, one hundred forty-four".