1156181170144 has 192 divisors, whose sum is σ = 3189079434240. Its totient is φ = 397730488320.

The previous prime is 1156181170141. The next prime is 1156181170147. The reversal of 1156181170144 is 4410711816511.

It is an interprime number because it is at equal distance from previous prime (1156181170141) and next prime (1156181170147).

It is a junction number, because it is equal to n+sod(n) for n = 1156181170097 and 1156181170106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156181170141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47929 + ... + 1521400.

It is an arithmetic number, because the mean of its divisors is an integer number (16609788720).

Almost surely, 2^{1156181170144} is an apocalyptic number.

1156181170144 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 1156181170144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594539717120).

1156181170144 is an abundant number, since it is smaller than the sum of its proper divisors (2032898264096).

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

1156181170144 is a wasteful number, since it uses less digits than its factorization.

1156181170144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569393 (or 1569385 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 40.

Adding to 1156181170144 its reverse (4410711816511), we get a palindrome (5566892986655).

The spelling of 1156181170144 in words is "one trillion, one hundred fifty-six billion, one hundred eighty-one million, one hundred seventy thousand, one hundred forty-four".