11463125897808 has 480 divisors, whose sum is σ = 36413867363328. Its totient is φ = 3342211891200.

The previous prime is 11463125897803. The next prime is 11463125897809. The reversal of 11463125897808 is 80879852136411.

11463125897808 is a `hidden beast` number, since 1 + 1 + 46 + 3 + 1 + 2 + 589 + 7 + 8 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11463125897803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 544271598 + ... + 544292658.

It is a 1-persistent number, because it is pandigital, but 2⋅11463125897808 = 22926251795616 is not.

Almost surely, 2^{11463125897808} is an apocalyptic number.

11463125897808 is a gapful number since it is divisible by the number (18) 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 11463125897808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206933681664).

11463125897808 is an abundant number, since it is smaller than the sum of its proper divisors (24950741465520).

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

11463125897808 is a wasteful number, since it uses less digits than its factorization.

11463125897808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21315 (or 21306 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 11463125897808 in words is "eleven trillion, four hundred sixty-three billion, one hundred twenty-five million, eight hundred ninety-seven thousand, eight hundred eight".