11454216400 has 60 divisors (see below), whose sum is σ = 30020471424. Its totient is φ = 4165168000.

The previous prime is 11454216373. The next prime is 11454216419. The reversal of 11454216400 is 461245411.

11454216400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297216 + ... + 1306015.

Almost surely, 2^11454216400 is an apocalyptic number.

11454216400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11454216400 is an abundant number, since it is smaller than the sum of its proper divisors (18566255024).

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

11454216400 is a wasteful number, since it uses less digits than its factorization.

11454216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603260 (or 2603249 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 11454216400 in words is "eleven billion, four hundred fifty-four million, two hundred sixteen thousand, four hundred".