11451454860300 has 288 divisors, whose sum is σ = 40818501115392. Its totient is φ = 2413786245120.

The previous prime is 11451454860179. The next prime is 11451454860301. The reversal of 11451454860300 is 306845415411.

11451454860300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11451454860300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11451454860301) 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, 27997867 + ... + 28403933.

Almost surely, 2^{11451454860300} is an apocalyptic number.

11451454860300 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 11451454860300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409250557696).

11451454860300 is an abundant number, since it is smaller than the sum of its proper divisors (29367046255092).

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

11451454860300 is a wasteful number, since it uses less digits than its factorization.

11451454860300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407137 (or 407130 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 11451454860300 in words is "eleven trillion, four hundred fifty-one billion, four hundred fifty-four million, eight hundred sixty thousand, three hundred".