11351345400 has 192 divisors, whose sum is σ = 41399359200. Its totient is φ = 2848942080.

The previous prime is 11351345381. The next prime is 11351345419. The reversal of 11351345400 is 454315311.

It is a happy number.

11351345400 is a `hidden beast` number, since 113 + 5 + 1 + 3 + 4 + 540 + 0 = 666.

11351345400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11351345381) and next prime (11351345419).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 29974 + ... + 153626.

Almost surely, 2^11351345400 is an apocalyptic number.

11351345400 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 11351345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699679600).

11351345400 is an abundant number, since it is smaller than the sum of its proper divisors (30048013800).

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

11351345400 is a wasteful number, since it uses less digits than its factorization.

11351345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123695 (or 123680 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11351345400 in words is "eleven billion, three hundred fifty-one million, three hundred forty-five thousand, four hundred".