378938465136 has 1440 divisors, whose sum is σ = 1521422622720. Its totient is φ = 89943436800.

The previous prime is 378938465123. The next prime is 378938465141. The reversal of 378938465136 is 631564839873.

378938465136 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 38 + 465 + 136 = 666.

378938465136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

Its product of digits (78382080) is a multiple of the sum of its prime factors (405).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1234327095 + ... + 1234327401.

It is an arithmetic number, because the mean of its divisors is an integer number (1056543488).

Almost surely, 2^378938465136 is an apocalyptic number.

378938465136 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 378938465136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760711311360).

378938465136 is an abundant number, since it is smaller than the sum of its proper divisors (1142484157584).

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

378938465136 is a wasteful number, since it uses less digits than its factorization.

378938465136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 378938465136 in words is "three hundred seventy-eight billion, nine hundred thirty-eight million, four hundred sixty-five thousand, one hundred thirty-six".