618364761493248 has 2304 divisors, whose sum is σ = 2428027583385600. Its totient is φ = 150561965998080.

The previous prime is 618364761493231. The next prime is 618364761493253. The reversal of 618364761493248 is 842394167463816.

618364761493248 is a `hidden beast` number, since 6 + 1 + 8 + 3 + 6 + 476 + 149 + 3 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79348740040 + ... + 79348747832.

It is an arithmetic number, because the mean of its divisors is an integer number (1053831416400).

Almost surely, 2^{618364761493248} 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 618364761493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214013791692800).

618364761493248 is an abundant number, since it is smaller than the sum of its proper divisors (1809662821892352).

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

618364761493248 is a wasteful number, since it uses less digits than its factorization.

618364761493248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 7995 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 618364761493248 in words is "six hundred eighteen trillion, three hundred sixty-four billion, seven hundred sixty-one million, four hundred ninety-three thousand, two hundred forty-eight".