378199128661200 has 600 divisors, whose sum is σ = 1692251011830720. Its totient is φ = 78586831411200.

The previous prime is 378199128661187. The next prime is 378199128661201. The reversal of 378199128661200 is 2166821991873.

378199128661200 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 9 + 9 + 1 + 2 + 8 + 6 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×378199128661200² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378199128661201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73302685 + ... + 78292284.

Almost surely, 2^{378199128661200} is an apocalyptic number.

378199128661200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378199128661200 is an abundant number, since it is smaller than the sum of its proper divisors (1314051883169520).

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

378199128661200 is a wasteful number, since it uses less digits than its factorization.

378199128661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151595017 (or 151594997 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 378199128661200 in words is "three hundred seventy-eight trillion, one hundred ninety-nine billion, one hundred twenty-eight million, six hundred sixty-one thousand, two hundred".