11454524400 has 480 divisors, whose sum is σ = 43242232320. Its totient is φ = 2562560000.

The previous prime is 11454524399. The next prime is 11454524413. The reversal of 11454524400 is 442545411.

It is a super-2 number, since 2×11454524400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8803750 + ... + 8805050.

It is an arithmetic number, because the mean of its divisors is an integer number (90087984).

Almost surely, 2^11454524400 is an apocalyptic number.

11454524400 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 11454524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621116160).

11454524400 is an abundant number, since it is smaller than the sum of its proper divisors (31787707920).

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

11454524400 is a wasteful number, since it uses less digits than its factorization.

11454524400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 11454524400 in words is "eleven billion, four hundred fifty-four million, five hundred twenty-four thousand, four hundred".