111285355501440 has 1536 divisors, whose sum is σ = 415979141760000. Its totient is φ = 27331866132480.

The previous prime is 111285355501393. The next prime is 111285355501451. The reversal of 111285355501440 is 44105553582111.

111285355501440 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 8 + 53 + 5 + 550 + 1 + 4 + 40 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185785234261 + ... + 185785234859.

It is an arithmetic number, because the mean of its divisors is an integer number (270819753750).

Almost surely, 2^{111285355501440} is an apocalyptic number.

111285355501440 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 111285355501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207989570880000).

111285355501440 is an abundant number, since it is smaller than the sum of its proper divisors (304693786258560).

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

111285355501440 is a wasteful number, since it uses less digits than its factorization.

111285355501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 111285355501440 in words is "one hundred eleven trillion, two hundred eighty-five billion, three hundred fifty-five million, five hundred one thousand, four hundred forty".