378845558784 has 1440 divisors, whose sum is σ = 1518355238400. Its totient is φ = 92804382720.

The previous prime is 378845558761. The next prime is 378845558857. The reversal of 378845558784 is 487855548873.

378845558784 is a `hidden beast` number, since 37 + 8 + 8 + 4 + 5 + 5 + 587 + 8 + 4 = 666.

It is a super-2 number, since 2×378845558784² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1698858897 + ... + 1698859119.

It is an arithmetic number, because the mean of its divisors is an integer number (1054413360).

Almost surely, 2^378845558784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378845558784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759177619200).

378845558784 is an abundant number, since it is smaller than the sum of its proper divisors (1139509679616).

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

378845558784 is a wasteful number, since it uses less digits than its factorization.

378845558784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 265 counting only the distinct ones).

The product of its digits is 1204224000, while the sum is 72.

The spelling of 378845558784 in words is "three hundred seventy-eight billion, eight hundred forty-five million, five hundred fifty-eight thousand, seven hundred eighty-four".