378943153085952 has 1920 divisors, whose sum is σ = 1526898072268800. Its totient is φ = 91625516236800.

The previous prime is 378943153085951. The next prime is 378943153085953. The reversal of 378943153085952 is 259580351349873.

378943153085952 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 4 + 3 + 1 + 530 + 85 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (378943153085951) and next prime (378943153085953).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378943153085951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5186631502 + ... + 5186704562.

It is an arithmetic number, because the mean of its divisors is an integer number (795259412640).

Almost surely, 2^{378943153085952} is an apocalyptic number.

378943153085952 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 378943153085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763449036134400).

378943153085952 is an abundant number, since it is smaller than the sum of its proper divisors (1147954919182848).

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

378943153085952 is a wasteful number, since it uses less digits than its factorization.

378943153085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73165 (or 73136 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 378943153085952 in words is "three hundred seventy-eight trillion, nine hundred forty-three billion, one hundred fifty-three million, eighty-five thousand, nine hundred fifty-two".