11132530145646 has 128 divisors (see below), whose sum is σ = 28379277459456. Its totient is φ = 2832084051840.

The previous prime is 11132530145629. The next prime is 11132530145707. The reversal of 11132530145646 is 64654103523111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11132530145598 and 11132530145607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4125081 + ... + 6267483.

It is an arithmetic number, because the mean of its divisors is an integer number (221713105152).

Almost surely, 2^{11132530145646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132530145646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189638729728).

11132530145646 is an abundant number, since it is smaller than the sum of its proper divisors (17246747313810).

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

11132530145646 is a wasteful number, since it uses less digits than its factorization.

11132530145646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142766.

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 11132530145646 its reverse (64654103523111), we get a palindrome (75786633668757).

The spelling of 11132530145646 in words is "eleven trillion, one hundred thirty-two billion, five hundred thirty million, one hundred forty-five thousand, six hundred forty-six".