378343154112000 has 1280 divisors, whose sum is σ = 1570049316126720. Its totient is φ = 78528393216000.

The previous prime is 378343154111959. The next prime is 378343154112071. The reversal of 378343154112000 is 211451343873.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13586482077 + ... + 13586509923.

It is an arithmetic number, because the mean of its divisors is an integer number (1226601028224).

Almost surely, 2^{378343154112000} is an apocalyptic number.

378343154112000 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 378343154112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785024658063360).

378343154112000 is an abundant number, since it is smaller than the sum of its proper divisors (1191706162014720).

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

378343154112000 is a wasteful number, since it uses less digits than its factorization.

378343154112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28820 (or 28794 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 378343154112000 in words is "three hundred seventy-eight trillion, three hundred forty-three billion, one hundred fifty-four million, one hundred twelve thousand".