618200070048 has 648 divisors, whose sum is σ = 2058956889444. Its totient is φ = 175779901440.

The previous prime is 618200070011. The next prime is 618200070133. The reversal of 618200070048 is 840070002816.

It is a Cunningham number, because it is equal to 786257²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 496669743504 + 121530326544 = 704748^2 + 348612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 618200069994 and 618200070021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1975079940 + ... + 1975080252.

Almost surely, 2^618200070048 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 618200070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029478444722).

618200070048 is an abundant number, since it is smaller than the sum of its proper divisors (1440756819396).

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

618200070048 is a wasteful number, since it uses less digits than its factorization.

618200070048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 618200070048 in words is "six hundred eighteen billion, two hundred million, seventy thousand, forty-eight".