13645590354 has 192 divisors, whose sum is σ = 35372113920. Its totient is φ = 3787106400.

The previous prime is 13645590331. The next prime is 13645590377. The reversal of 13645590354 is 45309554631.

13645590354 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 5 + 590 + 3 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (13645590331) and next prime (13645590377).

It is a super-2 number, since 2×13645590354² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 14110779 + ... + 14111745.

It is an arithmetic number, because the mean of its divisors is an integer number (184229760).

Almost surely, 2^13645590354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13645590354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686056960).

13645590354 is an abundant number, since it is smaller than the sum of its proper divisors (21726523566).

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

13645590354 is a wasteful number, since it uses less digits than its factorization.

13645590354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 13645590354 in words is "thirteen billion, six hundred forty-five million, five hundred ninety thousand, three hundred fifty-four".