111305452401 has 128 divisors (see below), whose sum is σ = 207602196480. Its totient is φ = 57896985600.

The previous prime is 111305452397. The next prime is 111305452451. The reversal of 111305452401 is 104254503111.

111305452401 is a `hidden beast` number, since 1 + 1 + 130 + 5 + 4 + 524 + 0 + 1 = 666.

It is not a de Polignac number, because 111305452401 - 2² = 111305452397 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (111305452451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5437656 + ... + 5458086.

It is an arithmetic number, because the mean of its divisors is an integer number (1621892160).

Almost surely, 2^111305452401 is an apocalyptic number.

111305452401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111305452401 is a deficient number, since it is larger than the sum of its proper divisors (96296744079).

111305452401 is a wasteful number, since it uses less digits than its factorization.

111305452401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20564 (or 20558 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 111305452401 its reverse (104254503111), we get a palindrome (215559955512).

The spelling of 111305452401 in words is "one hundred eleven billion, three hundred five million, four hundred fifty-two thousand, four hundred one".