314956950000 has 1440 divisors, whose sum is σ = 1331643769344. Its totient is φ = 62726400000.

The previous prime is 314956949999. The next prime is 314956950017. The reversal of 314956950000 is 59659413.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4700849967 + ... + 4700850033.

Almost surely, 2^314956950000 is an apocalyptic number.

314956950000 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 314956950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665821884672).

314956950000 is an abundant number, since it is smaller than the sum of its proper divisors (1016686819344).

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

314956950000 is a wasteful number, since it uses less digits than its factorization.

314956950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 314956950000 in words is "three hundred fourteen billion, nine hundred fifty-six million, nine hundred fifty thousand".