13468758100 has 72 divisors (see below), whose sum is σ = 33456553088. Its totient is φ = 4610390400.

The previous prime is 13468758097. The next prime is 13468758101. The reversal of 13468758100 is 185786431.

It is a super-2 number, since 2×13468758100² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13468758101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426454 + ... + 456946.

Almost surely, 2^13468758100 is an apocalyptic number.

13468758100 is a gapful number since it is divisible by the number (10) 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 13468758100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728276544).

13468758100 is an abundant number, since it is smaller than the sum of its proper divisors (19987794988).

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

13468758100 is a wasteful number, since it uses less digits than its factorization.

13468758100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31145 (or 31138 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 13468758100 in words is "thirteen billion, four hundred sixty-eight million, seven hundred fifty-eight thousand, one hundred".