11453630564240 has 20 divisors (see below), whose sum is σ = 26629691062044. Its totient is φ = 4581452225664.

The previous prime is 11453630564221. The next prime is 11453630564329. The reversal of 11453630564240 is 4246503635411.

It can be written as a sum of positive squares in 2 ways, for example, as 1322803617424 + 10130826946816 = 1150132^2 + 3182896^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11453630564191 and 11453630564200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71585190947 + ... + 71585191106.

Almost surely, 2^{11453630564240} is an apocalyptic number.

11453630564240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11453630564240 is an abundant number, since it is smaller than the sum of its proper divisors (15176060497804).

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

11453630564240 is a wasteful number, since it uses less digits than its factorization.

11453630564240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143170382066 (or 143170382060 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 11453630564240 in words is "eleven trillion, four hundred fifty-three billion, six hundred thirty million, five hundred sixty-four thousand, two hundred forty".