11453453933400 has 576 divisors, whose sum is σ = 39751047198720. Its totient is φ = 2953667404800.

The previous prime is 11453453933399. The next prime is 11453453933413. The reversal of 11453453933400 is 433935435411.

11453453933400 is a `hidden beast` number, since 1 + 1 + 45 + 3 + 4 + 539 + 33 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3355830094 + ... + 3355833506.

It is an arithmetic number, because the mean of its divisors is an integer number (69012234720).

Almost surely, 2^{11453453933400} is an apocalyptic number.

11453453933400 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 11453453933400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19875523599360).

11453453933400 is an abundant number, since it is smaller than the sum of its proper divisors (28297593265320).

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

11453453933400 is a wasteful number, since it uses less digits than its factorization.

11453453933400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 11453453933400 in words is "eleven trillion, four hundred fifty-three billion, four hundred fifty-three million, nine hundred thirty-three thousand, four hundred".