378231607460100 has 144 divisors (see below), whose sum is σ = 1124893589577408. Its totient is φ = 98051383503360.

The previous prime is 378231607460087. The next prime is 378231607460101. The reversal of 378231607460100 is 1064706132873.

It is a self number, because there is not a number n which added to its sum of digits gives 378231607460100.

It is not an unprimeable number, because it can be changed into a prime (378231607460101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740279 + ... + 27558878.

It is an arithmetic number, because the mean of its divisors is an integer number (7811761038732).

Almost surely, 2^{378231607460100} is an apocalyptic number.

378231607460100 is a gapful number since it is divisible by the number (30) 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 378231607460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562446794788704).

378231607460100 is an abundant number, since it is smaller than the sum of its proper divisors (746661982117308).

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

378231607460100 is a wasteful number, since it uses less digits than its factorization.

378231607460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29300374 (or 29300367 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 378231607460100 in words is "three hundred seventy-eight trillion, two hundred thirty-one billion, six hundred seven million, four hundred sixty thousand, one hundred".