314402748192 has 288 divisors, whose sum is σ = 1029238793856. Its totient is φ = 90275328000.

The previous prime is 314402748167. The next prime is 314402748199. The reversal of 314402748192 is 291847204413.

314402748192 is a `hidden beast` number, since 3 + 14 + 402 + 7 + 48 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (314402748199) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3486067 + ... + 3575117.

It is an arithmetic number, because the mean of its divisors is an integer number (3573745812).

Almost surely, 2^314402748192 is an apocalyptic number.

314402748192 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 314402748192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514619396928).

314402748192 is an abundant number, since it is smaller than the sum of its proper divisors (714836045664).

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

314402748192 is a wasteful number, since it uses less digits than its factorization.

314402748192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89144 (or 89133 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 314402748192 in words is "three hundred fourteen billion, four hundred two million, seven hundred forty-eight thousand, one hundred ninety-two".