314015694958144 has 189 divisors, whose sum is σ = 656102633242833. Its totient is φ = 149103871893504.

The previous prime is 314015694958139. The next prime is 314015694958153. The reversal of 314015694958144 is 441859496510413.

The square root of 314015694958144 is 17720488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76082355150400 + 237933339807744 = 8722520^2 + 15425088^2 .

It is a super-2 number, since 2×314015694958144² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 629289969607 + ... + 629289970105.

Almost surely, 2^{314015694958144} is an apocalyptic number.

314015694958144 is the 17720488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314015694958144

314015694958144 is an abundant number, since it is smaller than the sum of its proper divisors (342086938284689).

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

314015694958144 is an frugal number, since it uses more digits than its factorization.

314015694958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

314015694958144 divided by its sum of digits (64) gives a square (4906495233721 = 2215061²).

The spelling of 314015694958144 in words is "three hundred fourteen trillion, fifteen billion, six hundred ninety-four million, nine hundred fifty-eight thousand, one hundred forty-four".