378111799296 has 624 divisors, whose sum is σ = 1405943605248. Its totient is φ = 95020646400.

The previous prime is 378111799291. The next prime is 378111799309. The reversal of 378111799296 is 692997111873.

378111799296 is a `hidden beast` number, since 378 + 1 + 1 + 179 + 9 + 2 + 96 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (378111799291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87992220 + ... + 87996516.

It is an arithmetic number, because the mean of its divisors is an integer number (2253114752).

Almost surely, 2^378111799296 is an apocalyptic number.

378111799296 is a gapful number since it is divisible by the number (36) 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 378111799296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702971802624).

378111799296 is an abundant number, since it is smaller than the sum of its proper divisors (1027831805952).

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

378111799296 is a wasteful number, since it uses less digits than its factorization.

378111799296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4351 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 63.

The spelling of 378111799296 in words is "three hundred seventy-eight billion, one hundred eleven million, seven hundred ninety-nine thousand, two hundred ninety-six".