611985840048 has 160 divisors (see below), whose sum is σ = 1921328455680. Its totient is φ = 184965500160.

The previous prime is 611985840013. The next prime is 611985840049. The reversal of 611985840048 is 840048589116.

It is a happy number.

611985840048 is a `hidden beast` number, since 6 + 1 + 19 + 8 + 584 + 0 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 611985839976 and 611985840003.

It is not an unprimeable number, because it can be changed into a prime (611985840049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1651890 + ... + 1988142.

It is an arithmetic number, because the mean of its divisors is an integer number (12008302848).

Almost surely, 2^611985840048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611985840048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960664227840).

611985840048 is an abundant number, since it is smaller than the sum of its proper divisors (1309342615632).

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

611985840048 is a wasteful number, since it uses less digits than its factorization.

611985840048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336664 (or 336652 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 611985840048 in words is "six hundred eleven billion, nine hundred eighty-five million, eight hundred forty thousand, forty-eight".