11628603948024 has 160 divisors (see below), whose sum is σ = 37378297308000. Its totient is φ = 3308671825920.

The previous prime is 11628603948007. The next prime is 11628603948037. The reversal of 11628603948024 is 42084930682611.

11628603948024 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 603 + 9 + 4 + 8 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4225549 + ... + 6411900.

It is an arithmetic number, because the mean of its divisors is an integer number (233614358175).

Almost surely, 2^{11628603948024} is an apocalyptic number.

11628603948024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11628603948024 is an abundant number, since it is smaller than the sum of its proper divisors (25749693359976).

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

11628603948024 is a wasteful number, since it uses less digits than its factorization.

11628603948024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637715 (or 10637702 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11628603948024 in words is "eleven trillion, six hundred twenty-eight billion, six hundred three million, nine hundred forty-eight thousand, twenty-four".