11345452000 has 96 divisors (see below), whose sum is σ = 28048404384. Its totient is φ = 4510080000.

The previous prime is 11345451979. The next prime is 11345452033. The reversal of 11345452000 is 25454311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643300 + ... + 660700.

It is an arithmetic number, because the mean of its divisors is an integer number (292170879).

Almost surely, 2^11345452000 is an apocalyptic number.

11345452000 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 11345452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14024202192).

11345452000 is an abundant number, since it is smaller than the sum of its proper divisors (16702952384).

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

11345452000 is a wasteful number, since it uses less digits than its factorization.

11345452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17589 (or 17571 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 11345452000 in words is "eleven billion, three hundred forty-five million, four hundred fifty-two thousand".