11453376000 has 960 divisors, whose sum is σ = 45846440640. Its totient is φ = 2523136000.

The previous prime is 11453375993. The next prime is 11453376007. The reversal of 11453376000 is 67335411.

It is an interprime number because it is at equal distance from previous prime (11453375993) and next prime (11453376007).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11453376007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394943986 + ... + 394944014.

It is an arithmetic number, because the mean of its divisors is an integer number (47756709).

Almost surely, 2^11453376000 is an apocalyptic number.

11453376000 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 11453376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22923220320).

11453376000 is an abundant number, since it is smaller than the sum of its proper divisors (34393064640).

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

11453376000 is a wasteful number, since it uses less digits than its factorization.

11453376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 11453376000 in words is "eleven billion, four hundred fifty-three million, three hundred seventy-six thousand".