378004871103552 has 672 divisors, whose sum is σ = 1382196542688000. Its totient is φ = 95925277900800.

The previous prime is 378004871103547. The next prime is 378004871103569. The reversal of 378004871103552 is 255301178400873.

378004871103552 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 0 + 4 + 8 + 71 + 10 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402646474 + ... + 403584182.

Almost surely, 2^{378004871103552} is an apocalyptic number.

378004871103552 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 378004871103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691098271344000).

378004871103552 is an abundant number, since it is smaller than the sum of its proper divisors (1004191671584448).

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

378004871103552 is a wasteful number, since it uses less digits than its factorization.

378004871103552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937955 (or 937942 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 378004871103552 in words is "three hundred seventy-eight trillion, four billion, eight hundred seventy-one million, one hundred three thousand, five hundred fifty-two".