11546746528 has 96 divisors (see below), whose sum is σ = 24523720704. Its totient is φ = 5332303872.

The previous prime is 11546746489. The next prime is 11546746529. The reversal of 11546746528 is 82564764511.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11546746529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6700675 + ... + 6702397.

It is an arithmetic number, because the mean of its divisors is an integer number (255455424).

Almost surely, 2^11546746528 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 11546746528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261860352).

11546746528 is an abundant number, since it is smaller than the sum of its proper divisors (12976974176).

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

11546746528 is a wasteful number, since it uses less digits than its factorization.

11546746528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1966 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 49.

The spelling of 11546746528 in words is "eleven billion, five hundred forty-six million, seven hundred forty-six thousand, five hundred twenty-eight".