11546536401252 has 36 divisors (see below), whose sum is σ = 29586901120140. Its totient is φ = 3796121555712.

The previous prime is 11546536401233. The next prime is 11546536401269. The reversal of 11546536401252 is 25210463564511.

11546536401252 is a `hidden beast` number, since 1 + 1 + 5 + 465 + 3 + 64 + 0 + 125 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5011222507776 + 6535313893476 = 2238576^2 + 2556426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 11546536401198 and 11546536401207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2196826977 + ... + 2196832232.

Almost surely, 2^{11546536401252} is an apocalyptic number.

11546536401252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11546536401252 is an abundant number, since it is smaller than the sum of its proper divisors (18040364718888).

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

11546536401252 is a wasteful number, since it uses less digits than its factorization.

11546536401252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393659292 (or 4393659287 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 11546536401252 its reverse (25210463564511), we get a palindrome (36756999965763).

The spelling of 11546536401252 in words is "eleven trillion, five hundred forty-six billion, five hundred thirty-six million, four hundred one thousand, two hundred fifty-two".