11532246146304 has 144 divisors (see below), whose sum is σ = 33175537914624. Its totient is φ = 3535288934400.

The previous prime is 11532246146287. The next prime is 11532246146339. The reversal of 11532246146304 is 40364164223511.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574534 + ... + 4836794.

Almost surely, 2^{11532246146304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11532246146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587768957312).

11532246146304 is an abundant number, since it is smaller than the sum of its proper divisors (21643291768320).

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

11532246146304 is a wasteful number, since it uses less digits than its factorization.

11532246146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262564 (or 4262550 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 11532246146304 in words is "eleven trillion, five hundred thirty-two billion, two hundred forty-six million, one hundred forty-six thousand, three hundred four".