378807915192192 has 256 divisors, whose sum is σ = 1149535650312000. Its totient is φ = 122731599790080.

The previous prime is 378807915192139. The next prime is 378807915192211. The reversal of 378807915192192 is 291291519708873.

378807915192192 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 0 + 7 + 91 + 519 + 2 + 19 + 2 = 666.

It is a super-2 number, since 2×378807915192192² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 378807915192192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33147108 + ... + 43085340.

Almost surely, 2^{378807915192192} is an apocalyptic number.

378807915192192 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 378807915192192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574767825156000).

378807915192192 is an abundant number, since it is smaller than the sum of its proper divisors (770727735119808).

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

378807915192192 is a wasteful number, since it uses less digits than its factorization.

378807915192192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938566 (or 9938548 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 72.

The spelling of 378807915192192 in words is "three hundred seventy-eight trillion, eight hundred seven billion, nine hundred fifteen million, one hundred ninety-two thousand, one hundred ninety-two".