378538707456 has 1600 divisors, whose sum is σ = 1497279168000. Its totient is φ = 94420795392.

The previous prime is 378538707419. The next prime is 378538707493. The reversal of 378538707456 is 654707835873.

378538707456 is a `hidden beast` number, since 3 + 7 + 85 + 38 + 70 + 7 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (378538707419) and next prime (378538707493).

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

It is a junction number, because it is equal to n+sod(n) for n = 378538707393 and 378538707402.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4253243860 + ... + 4253243948.

It is an arithmetic number, because the mean of its divisors is an integer number (935799480).

Almost surely, 2^378538707456 is an apocalyptic number.

378538707456 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 378538707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748639584000).

378538707456 is an abundant number, since it is smaller than the sum of its proper divisors (1118740460544).

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

378538707456 is an equidigital number, since it uses as much as digits as its factorization.

378538707456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 378538707456 in words is "three hundred seventy-eight billion, five hundred thirty-eight million, seven hundred seven thousand, four hundred fifty-six".