314874378000 has 2400 divisors, whose sum is σ = 1480322967552. Its totient is φ = 63078912000.

The previous prime is 314874377953. The next prime is 314874378001. The reversal of 314874378000 is 873478413.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (314874378001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5941025974 + ... + 5941026026.

Almost surely, 2^314874378000 is an apocalyptic number.

314874378000 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 314874378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740161483776).

314874378000 is an abundant number, since it is smaller than the sum of its proper divisors (1165448589552).

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

314874378000 is a wasteful number, since it uses less digits than its factorization.

314874378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 314874378000 in words is "three hundred fourteen billion, eight hundred seventy-four million, three hundred seventy-eight thousand".