13263149088 has 576 divisors, whose sum is σ = 48028619520. Its totient is φ = 3542482944.

The previous prime is 13263149071. The next prime is 13263149099. The reversal of 13263149088 is 88094136231.

13263149088 is a `hidden beast` number, since 1 + 3 + 2 + 631 + 4 + 9 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×13263149088² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51607456 + ... + 51607712.

It is an arithmetic number, because the mean of its divisors is an integer number (83383020).

Almost surely, 2^13263149088 is an apocalyptic number.

13263149088 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 13263149088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014309760).

13263149088 is an abundant number, since it is smaller than the sum of its proper divisors (34765470432).

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

13263149088 is a wasteful number, since it uses less digits than its factorization.

13263149088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13263149088 in words is "thirteen billion, two hundred sixty-three million, one hundred forty-nine thousand, eighty-eight".