378695181312 has 1408 divisors, whose sum is σ = 1450258560000. Its totient is φ = 98322481152.

The previous prime is 378695181257. The next prime is 378695181367. The reversal of 378695181312 is 213181596873.

378695181312 is a `hidden beast` number, since 37 + 8 + 69 + 518 + 1 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (378695181257) and next prime (378695181367).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2177280) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13058454514 + ... + 13058454542.

Almost surely, 2^378695181312 is an apocalyptic number.

378695181312 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 378695181312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725129280000).

378695181312 is an abundant number, since it is smaller than the sum of its proper divisors (1071563378688).

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

378695181312 is an frugal number, since it uses more digits than its factorization.

378695181312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 378695181312 in words is "three hundred seventy-eight billion, six hundred ninety-five million, one hundred eighty-one thousand, three hundred twelve".