2465463289536 has 896 divisors, whose sum is σ = 8271968337920. Its totient is φ = 714844569600.

The previous prime is 2465463289441. The next prime is 2465463289543. The reversal of 2465463289536 is 6359823645642.

2465463289536 is a `hidden beast` number, since 2 + 4 + 6 + 546 + 3 + 2 + 89 + 5 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5394886620 + ... + 5394887076.

It is an arithmetic number, because the mean of its divisors is an integer number (9232107520).

Almost surely, 2^{2465463289536} is an apocalyptic number.

2465463289536 is a gapful number since it is divisible by the number (26) 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 2465463289536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135984168960).

2465463289536 is an abundant number, since it is smaller than the sum of its proper divisors (5806505048384).

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

2465463289536 is a wasteful number, since it uses less digits than its factorization.

2465463289536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 63.

The spelling of 2465463289536 in words is "two trillion, four hundred sixty-five billion, four hundred sixty-three million, two hundred eighty-nine thousand, five hundred thirty-six".