13485432636000 has 1536 divisors, whose sum is σ = 55240392130560. Its totient is φ = 3172856832000.

The previous prime is 13485432635993. The next prime is 13485432636059. The reversal of 13485432636000 is 63623458431.

13485432636000 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 5 + 4 + 3 + 2 + 636 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3612490134 + ... + 3612493866.

It is an arithmetic number, because the mean of its divisors is an integer number (35963796960).

Almost surely, 2^{13485432636000} is an apocalyptic number.

13485432636000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13485432636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27620196065280).

13485432636000 is an abundant number, since it is smaller than the sum of its proper divisors (41754959494560).

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

13485432636000 is a wasteful number, since it uses less digits than its factorization.

13485432636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 13485432636000 in words is "thirteen trillion, four hundred eighty-five billion, four hundred thirty-two million, six hundred thirty-six thousand".