618231398400 has 1920 divisors, whose sum is σ = 2879064745920. Its totient is φ = 128463667200.

The previous prime is 618231398371. The next prime is 618231398401. The reversal of 618231398400 is 4893132816.

618231398400 is a `hidden beast` number, since 6 + 1 + 8 + 231 + 3 + 9 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 13200 × 3696 × 12672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (618231398401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56202854395 + ... + 56202854405.

Almost surely, 2^618231398400 is an apocalyptic number.

618231398400 is a gapful number since it is divisible by the number (60) 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 618231398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439532372960).

618231398400 is an abundant number, since it is smaller than the sum of its proper divisors (2260833347520).

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

618231398400 is an frugal number, since it uses more digits than its factorization.

618231398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 618231398400 in words is "six hundred eighteen billion, two hundred thirty-one million, three hundred ninety-eight thousand, four hundred".