13546460186820 has 1728 divisors, whose sum is σ = 50751267840000. Its totient is φ = 3021528407040.

The previous prime is 13546460186789. The next prime is 13546460186827. The reversal of 13546460186820 is 2868106464531.

13546460186820 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 6 + 4 + 601 + 8 + 6 + 8 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13546460186827) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 90915840106 + ... + 90915840254.

Almost surely, 2^{13546460186820} is an apocalyptic number.

13546460186820 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 13546460186820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25375633920000).

13546460186820 is an abundant number, since it is smaller than the sum of its proper divisors (37204807653180).

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

13546460186820 is a wasteful number, since it uses less digits than its factorization.

13546460186820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 13546460186820 in words is "thirteen trillion, five hundred forty-six billion, four hundred sixty million, one hundred eighty-six thousand, eight hundred twenty".