11454464000 has 480 divisors, whose sum is σ = 35331738624. Its totient is φ = 3617587200.

The previous prime is 11454463981. The next prime is 11454464003. The reversal of 11454464000 is 46445411.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11454464003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243711977 + ... + 243712023.

Almost surely, 2^11454464000 is an apocalyptic number.

11454464000 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 11454464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665869312).

11454464000 is an abundant number, since it is smaller than the sum of its proper divisors (23877274624).

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

11454464000 is an frugal number, since it uses more digits than its factorization.

11454464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 11454464000 in words is "eleven billion, four hundred fifty-four million, four hundred sixty-four thousand".