378583252992 has 648 divisors, whose sum is σ = 1329555741696. Its totient is φ = 101666783232.

The previous prime is 378583252979. The next prime is 378583253017. The reversal of 378583252992 is 299252385873.

378583252992 is a `hidden beast` number, since 3 + 7 + 8 + 583 + 25 + 29 + 9 + 2 = 666.

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 35 ways as a sum of consecutive naturals, for example, 2980970433 + ... + 2980970559.

It is an arithmetic number, because the mean of its divisors is an integer number (2051783552).

Almost surely, 2^378583252992 is an apocalyptic number.

378583252992 is a gapful number since it is divisible by the number (32) 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 378583252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664777870848).

378583252992 is an abundant number, since it is smaller than the sum of its proper divisors (950972488704).

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

378583252992 is an equidigital number, since it uses as much as digits as its factorization.

378583252992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 158 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 378583252992 in words is "three hundred seventy-eight billion, five hundred eighty-three million, two hundred fifty-two thousand, nine hundred ninety-two".