618748248384000 has 3840 divisors, whose sum is σ = 2806780224568320. Its totient is φ = 132835678617600.

The previous prime is 618748248383953. The next prime is 618748248384043. The reversal of 618748248384000 is 483842847816.

618748248384000 is a `hidden beast` number, since 6 + 1 + 8 + 7 + 4 + 8 + 248 + 384 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×618748248384000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 116811069352 + ... + 116811074648.

It is an arithmetic number, because the mean of its divisors is an integer number (730932350148).

Almost surely, 2^{618748248384000} is an apocalyptic number.

618748248384000 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 618748248384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403390112284160).

618748248384000 is an abundant number, since it is smaller than the sum of its proper divisors (2188031976184320).

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

618748248384000 is an equidigital number, since it uses as much as digits as its factorization.

618748248384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 618748248384000 in words is "six hundred eighteen trillion, seven hundred forty-eight billion, two hundred forty-eight million, three hundred eighty-four thousand".