111369098064 has 240 divisors, whose sum is σ = 338605375488. Its totient is φ = 31540150656.

The previous prime is 111369098033. The next prime is 111369098069. The reversal of 111369098064 is 460890963111.

It is a happy number.

It is a super-3 number, since 3×111369098064³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111369098069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102454929 + ... + 102456015.

Almost surely, 2^111369098064 is an apocalyptic number.

111369098064 is a gapful number since it is divisible by the number (14) 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 111369098064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169302687744).

111369098064 is an abundant number, since it is smaller than the sum of its proper divisors (227236277424).

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

111369098064 is an equidigital number, since it uses as much as digits as its factorization.

111369098064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 111369098064 in words is "one hundred eleven billion, three hundred sixty-nine million, ninety-eight thousand, sixty-four".