111461481648 has 640 divisors, whose sum is σ = 388775116800. Its totient is φ = 30159360000.

The previous prime is 111461481647. The next prime is 111461481653. The reversal of 111461481648 is 846184164111.

111461481648 is a `hidden beast` number, since 1 + 1 + 14 + 614 + 8 + 16 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111461481641) 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, 444069523 + ... + 444069773.

It is an arithmetic number, because the mean of its divisors is an integer number (607461120).

Almost surely, 2^111461481648 is an apocalyptic number.

111461481648 is a gapful number since it is divisible by the number (18) 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 111461481648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194387558400).

111461481648 is an abundant number, since it is smaller than the sum of its proper divisors (277313635152).

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

111461481648 is a wasteful number, since it uses less digits than its factorization.

111461481648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The spelling of 111461481648 in words is "one hundred eleven billion, four hundred sixty-one million, four hundred eighty-one thousand, six hundred forty-eight".