13595361473664 has 256 divisors, whose sum is σ = 42150814560000. Its totient is φ = 4305656881152.

The previous prime is 13595361473663. The next prime is 13595361473693. The reversal of 13595361473664 is 46637416359531.

13595361473664 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 5 + 3 + 614 + 7 + 3 + 6 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (13595361473663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11269764 + ... + 12417660.

It is an arithmetic number, because the mean of its divisors is an integer number (164651619375).

Almost surely, 2^{13595361473664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13595361473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21075407280000).

13595361473664 is an abundant number, since it is smaller than the sum of its proper divisors (28555453086336).

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

13595361473664 is a wasteful number, since it uses less digits than its factorization.

13595361473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148092 (or 1148074 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 13595361473664 in words is "thirteen trillion, five hundred ninety-five billion, three hundred sixty-one million, four hundred seventy-three thousand, six hundred sixty-four".