11546400112536 has 32 divisors (see below), whose sum is σ = 28866098246400. Its totient is φ = 3848786975520.

The previous prime is 11546400112451. The next prime is 11546400112537. The reversal of 11546400112536 is 63521100464511.

It is a junction number, because it is equal to n+sod(n) for n = 11546400112494 and 11546400112503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11546400112537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8636485 + ... + 9883403.

It is an arithmetic number, because the mean of its divisors is an integer number (902065570200).

Almost surely, 2^{11546400112536} is an apocalyptic number.

It is an amenable number.

11546400112536 is an abundant number, since it is smaller than the sum of its proper divisors (17319698133864).

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

11546400112536 is a wasteful number, since it uses less digits than its factorization.

11546400112536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632759 (or 1632755 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 11546400112536 in words is "eleven trillion, five hundred forty-six billion, four hundred million, one hundred twelve thousand, five hundred thirty-six".