8101464000 has 504 divisors, whose sum is σ = 31497989328. Its totient is φ = 1829452800.

The previous prime is 8101463989. The next prime is 8101464001. The reversal of 8101464000 is 4641018.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8101464001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97607959 + ... + 97608041.

Almost surely, 2^8101464000 is an apocalyptic number.

8101464000 is a gapful number since it is divisible by the number (80) 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 8101464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748994664).

8101464000 is an abundant number, since it is smaller than the sum of its proper divisors (23396525328).

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

8101464000 is an equidigital number, since it uses as much as digits as its factorization.

8101464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8101464000 is about 90008.1329658604. The cubic root of 8101464000 is about 2008.4198367650.

The spelling of 8101464000 in words is "eight billion, one hundred one million, four hundred sixty-four thousand".